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Finding the Third Proportional to 18,680 and 28,924

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Solution

The third proportional to 18,680 and 28,924 is: 44,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,680 : 28,924 = 28,924 : x
  2. Step 2: Convert to fraction form
    18,680/28,924 = 28,924/x
  3. Step 3: Cross multiply
    18,680x = 28,924 × 28,924
  4. Step 4: Simplify right side
    18,680x = 836,597,776
  5. Step 5: Solve for x
    x = 836,597,776/18,680
  6. Step 6: Final answer
    x = 44,785.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.