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Finding the Third Proportional to 18,428 and 38,372

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Solution

The third proportional to 18,428 and 38,372 is: 79,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,428 : 38,372 = 38,372 : x
  2. Step 2: Convert to fraction form
    18,428/38,372 = 38,372/x
  3. Step 3: Cross multiply
    18,428x = 38,372 × 38,372
  4. Step 4: Simplify right side
    18,428x = 1,472,410,384
  5. Step 5: Solve for x
    x = 1,472,410,384/18,428
  6. Step 6: Final answer
    x = 79,900.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.