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Finding the Third Proportional to 317,909,842.88 and 429,389,363.25

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Solution

The third proportional to 317,909,842.88 and 429,389,363.25 is: 579,960,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,909,842.88 : 429,389,363.25 = 429,389,363.25 : x
  2. Step 2: Convert to fraction form
    317,909,842.88/429,389,363.25 = 429,389,363.25/x
  3. Step 3: Cross multiply
    317,909,842.88x = 429,389,363.25 × 429,389,363.25
  4. Step 4: Simplify right side
    317,909,842.88x = 184,375,225,272,240,448
  5. Step 5: Solve for x
    x = 184,375,225,272,240,448/317,909,842.88
  6. Step 6: Final answer
    x = 579,960,732.28

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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.