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Finding the Third Proportional to 209,755,818 and 317,546,892

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Solution

The third proportional to 209,755,818 and 317,546,892 is: 480,730,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,755,818 : 317,546,892 = 317,546,892 : x
  2. Step 2: Convert to fraction form
    209,755,818/317,546,892 = 317,546,892/x
  3. Step 3: Cross multiply
    209,755,818x = 317,546,892 × 317,546,892
  4. Step 4: Simplify right side
    209,755,818x = 100,836,028,618,859,664
  5. Step 5: Solve for x
    x = 100,836,028,618,859,664/209,755,818
  6. Step 6: Final answer
    x = 480,730,544.59

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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.