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Finding the Third Proportional to 209,755,828 and 317,546,908

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Solution

The third proportional to 209,755,828 and 317,546,908 is: 480,730,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,755,828 : 317,546,908 = 317,546,908 : x
  2. Step 2: Convert to fraction form
    209,755,828/317,546,908 = 317,546,908/x
  3. Step 3: Cross multiply
    209,755,828x = 317,546,908 × 317,546,908
  4. Step 4: Simplify right side
    209,755,828x = 100,836,038,780,360,464
  5. Step 5: Solve for x
    x = 100,836,038,780,360,464/209,755,828
  6. Step 6: Final answer
    x = 480,730,570.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.