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Finding the Third Proportional to 209,755,820 and 317,546,895

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Solution

The third proportional to 209,755,820 and 317,546,895 is: 480,730,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,755,820 : 317,546,895 = 317,546,895 : x
  2. Step 2: Convert to fraction form
    209,755,820/317,546,895 = 317,546,895/x
  3. Step 3: Cross multiply
    209,755,820x = 317,546,895 × 317,546,895
  4. Step 4: Simplify right side
    209,755,820x = 100,836,030,524,141,024
  5. Step 5: Solve for x
    x = 100,836,030,524,141,024/209,755,820
  6. Step 6: Final answer
    x = 480,730,549.09

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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.