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Finding the Third Proportional to 472,436 and 717,398

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Solution

The third proportional to 472,436 and 717,398 is: 1,089,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,436 : 717,398 = 717,398 : x
  2. Step 2: Convert to fraction form
    472,436/717,398 = 717,398/x
  3. Step 3: Cross multiply
    472,436x = 717,398 × 717,398
  4. Step 4: Simplify right side
    472,436x = 514,659,890,404
  5. Step 5: Solve for x
    x = 514,659,890,404/472,436
  6. Step 6: Final answer
    x = 1,089,374.84

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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.