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Finding the Third Proportional to 417,865 and 636,592

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Solution

The third proportional to 417,865 and 636,592 is: 969,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,865 : 636,592 = 636,592 : x
  2. Step 2: Convert to fraction form
    417,865/636,592 = 636,592/x
  3. Step 3: Cross multiply
    417,865x = 636,592 × 636,592
  4. Step 4: Simplify right side
    417,865x = 405,249,374,464
  5. Step 5: Solve for x
    x = 405,249,374,464/417,865
  6. Step 6: Final answer
    x = 969,809.33

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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.