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Finding the Third Proportional to 18,400 and 38,060

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Solution

The third proportional to 18,400 and 38,060 is: 78,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400 : 38,060 = 38,060 : x
  2. Step 2: Convert to fraction form
    18,400/38,060 = 38,060/x
  3. Step 3: Cross multiply
    18,400x = 38,060 × 38,060
  4. Step 4: Simplify right side
    18,400x = 1,448,563,600
  5. Step 5: Solve for x
    x = 1,448,563,600/18,400
  6. Step 6: Final answer
    x = 78,726.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.