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Finding the Third Proportional to 15,372 and 20,864

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Solution

The third proportional to 15,372 and 20,864 is: 28,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,372 : 20,864 = 20,864 : x
  2. Step 2: Convert to fraction form
    15,372/20,864 = 20,864/x
  3. Step 3: Cross multiply
    15,372x = 20,864 × 20,864
  4. Step 4: Simplify right side
    15,372x = 435,306,496
  5. Step 5: Solve for x
    x = 435,306,496/15,372
  6. Step 6: Final answer
    x = 28,318.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.