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Finding the Third Proportional to 48,427 and 72,638

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Solution

The third proportional to 48,427 and 72,638 is: 108,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,427 : 72,638 = 72,638 : x
  2. Step 2: Convert to fraction form
    48,427/72,638 = 72,638/x
  3. Step 3: Cross multiply
    48,427x = 72,638 × 72,638
  4. Step 4: Simplify right side
    48,427x = 5,276,279,044
  5. Step 5: Solve for x
    x = 5,276,279,044/48,427
  6. Step 6: Final answer
    x = 108,953.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.