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Finding the Third Proportional to 417,828 and 636,534

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Solution

The third proportional to 417,828 and 636,534 is: 969,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,828 : 636,534 = 636,534 : x
  2. Step 2: Convert to fraction form
    417,828/636,534 = 636,534/x
  3. Step 3: Cross multiply
    417,828x = 636,534 × 636,534
  4. Step 4: Simplify right side
    417,828x = 405,175,533,156
  5. Step 5: Solve for x
    x = 405,175,533,156/417,828
  6. Step 6: Final answer
    x = 969,718.48

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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.