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Finding the Third Proportional to 8,278.50 and 12,711

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Solution

The third proportional to 8,278.50 and 12,711 is: 19,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.50 : 12,711 = 12,711 : x
  2. Step 2: Convert to fraction form
    8,278.50/12,711 = 12,711/x
  3. Step 3: Cross multiply
    8,278.50x = 12,711 × 12,711
  4. Step 4: Simplify right side
    8,278.50x = 161,569,521
  5. Step 5: Solve for x
    x = 161,569,521/8,278.50
  6. Step 6: Final answer
    x = 19,516.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.