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Finding the Third Proportional to 344,288,802.75 and 747,031,180.50

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Solution

The third proportional to 344,288,802.75 and 747,031,180.50 is: 1,620,893,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,288,802.75 : 747,031,180.50 = 747,031,180.50 : x
  2. Step 2: Convert to fraction form
    344,288,802.75/747,031,180.50 = 747,031,180.50/x
  3. Step 3: Cross multiply
    344,288,802.75x = 747,031,180.50 × 747,031,180.50
  4. Step 4: Simplify right side
    344,288,802.75x = 558,055,584,639,223,552
  5. Step 5: Solve for x
    x = 558,055,584,639,223,552/344,288,802.75
  6. Step 6: Final answer
    x = 1,620,893,796.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.