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Finding the Third Proportional to 417,791 and 636,479

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Solution

The third proportional to 417,791 and 636,479 is: 969,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,791 : 636,479 = 636,479 : x
  2. Step 2: Convert to fraction form
    417,791/636,479 = 636,479/x
  3. Step 3: Cross multiply
    417,791x = 636,479 × 636,479
  4. Step 4: Simplify right side
    417,791x = 405,105,517,441
  5. Step 5: Solve for x
    x = 405,105,517,441/417,791
  6. Step 6: Final answer
    x = 969,636.77

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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.