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Finding the Third Proportional to 47,640 and 72,432

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Solution

The third proportional to 47,640 and 72,432 is: 110,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640 : 72,432 = 72,432 : x
  2. Step 2: Convert to fraction form
    47,640/72,432 = 72,432/x
  3. Step 3: Cross multiply
    47,640x = 72,432 × 72,432
  4. Step 4: Simplify right side
    47,640x = 5,246,394,624
  5. Step 5: Solve for x
    x = 5,246,394,624/47,640
  6. Step 6: Final answer
    x = 110,125.83

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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.