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Finding the Third Proportional to 417,708 and 636,354

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Solution

The third proportional to 417,708 and 636,354 is: 969,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,708 : 636,354 = 636,354 : x
  2. Step 2: Convert to fraction form
    417,708/636,354 = 636,354/x
  3. Step 3: Cross multiply
    417,708x = 636,354 × 636,354
  4. Step 4: Simplify right side
    417,708x = 404,946,413,316
  5. Step 5: Solve for x
    x = 404,946,413,316/417,708
  6. Step 6: Final answer
    x = 969,448.55

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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.