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Finding the Third Proportional to 15,438 and 23,231

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Solution

The third proportional to 15,438 and 23,231 is: 34,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438 : 23,231 = 23,231 : x
  2. Step 2: Convert to fraction form
    15,438/23,231 = 23,231/x
  3. Step 3: Cross multiply
    15,438x = 23,231 × 23,231
  4. Step 4: Simplify right side
    15,438x = 539,679,361
  5. Step 5: Solve for x
    x = 539,679,361/15,438
  6. Step 6: Final answer
    x = 34,957.85

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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.