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Finding the Third Proportional to 327,272,213,664 and 764,655,562,120.50

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Solution

The third proportional to 327,272,213,664 and 764,655,562,120.50 is: 1,786,580,419,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,272,213,664 : 764,655,562,120.50 = 764,655,562,120.50 : x
  2. Step 2: Convert to fraction form
    327,272,213,664/764,655,562,120.50 = 764,655,562,120.50/x
  3. Step 3: Cross multiply
    327,272,213,664x = 764,655,562,120.50 × 764,655,562,120.50
  4. Step 4: Simplify right side
    327,272,213,664x = 584,698,128,681,817,822,199,808
  5. Step 5: Solve for x
    x = 584,698,128,681,817,822,199,808/327,272,213,664
  6. Step 6: Final answer
    x = 1,786,580,419,204.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.