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Finding the Third Proportional to 472,432 and 717,392

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Solution

The third proportional to 472,432 and 717,392 is: 1,089,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,432 : 717,392 = 717,392 : x
  2. Step 2: Convert to fraction form
    472,432/717,392 = 717,392/x
  3. Step 3: Cross multiply
    472,432x = 717,392 × 717,392
  4. Step 4: Simplify right side
    472,432x = 514,651,281,664
  5. Step 5: Solve for x
    x = 514,651,281,664/472,432
  6. Step 6: Final answer
    x = 1,089,365.84

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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.