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Finding the Third Proportional to 199,242,441 and 312,524,278.50

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Solution

The third proportional to 199,242,441 and 312,524,278.50 is: 490,213,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,242,441 : 312,524,278.50 = 312,524,278.50 : x
  2. Step 2: Convert to fraction form
    199,242,441/312,524,278.50 = 312,524,278.50/x
  3. Step 3: Cross multiply
    199,242,441x = 312,524,278.50 × 312,524,278.50
  4. Step 4: Simplify right side
    199,242,441x = 97,671,424,651,945,568
  5. Step 5: Solve for x
    x = 97,671,424,651,945,568/199,242,441
  6. Step 6: Final answer
    x = 490,213,953.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.