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Finding the Third Proportional to 317,909,844 and 429,389,361

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Solution

The third proportional to 317,909,844 and 429,389,361 is: 579,960,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,909,844 : 429,389,361 = 429,389,361 : x
  2. Step 2: Convert to fraction form
    317,909,844/429,389,361 = 429,389,361/x
  3. Step 3: Cross multiply
    317,909,844x = 429,389,361 × 429,389,361
  4. Step 4: Simplify right side
    317,909,844x = 184,375,223,339,988,320
  5. Step 5: Solve for x
    x = 184,375,223,339,988,320/317,909,844
  6. Step 6: Final answer
    x = 579,960,724.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.