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Finding the Third Proportional to 417,650 and 636,267

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Solution

The third proportional to 417,650 and 636,267 is: 969,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,650 : 636,267 = 636,267 : x
  2. Step 2: Convert to fraction form
    417,650/636,267 = 636,267/x
  3. Step 3: Cross multiply
    417,650x = 636,267 × 636,267
  4. Step 4: Simplify right side
    417,650x = 404,835,695,289
  5. Step 5: Solve for x
    x = 404,835,695,289/417,650
  6. Step 6: Final answer
    x = 969,318.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.