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Finding the Third Proportional to 9,139.50 and 18,711

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Solution

The third proportional to 9,139.50 and 18,711 is: 38,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.50 : 18,711 = 18,711 : x
  2. Step 2: Convert to fraction form
    9,139.50/18,711 = 18,711/x
  3. Step 3: Cross multiply
    9,139.50x = 18,711 × 18,711
  4. Step 4: Simplify right side
    9,139.50x = 350,101,521
  5. Step 5: Solve for x
    x = 350,101,521/9,139.50
  6. Step 6: Final answer
    x = 38,306.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.