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Finding the Third Proportional to 18,432 and 38,768

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Solution

The third proportional to 18,432 and 38,768 is: 81,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432 : 38,768 = 38,768 : x
  2. Step 2: Convert to fraction form
    18,432/38,768 = 38,768/x
  3. Step 3: Cross multiply
    18,432x = 38,768 × 38,768
  4. Step 4: Simplify right side
    18,432x = 1,502,957,824
  5. Step 5: Solve for x
    x = 1,502,957,824/18,432
  6. Step 6: Final answer
    x = 81,540.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.