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Finding the Third Proportional to 5,711.50 and 8,542.50

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Solution

The third proportional to 5,711.50 and 8,542.50 is: 12,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.50 : 8,542.50 = 8,542.50 : x
  2. Step 2: Convert to fraction form
    5,711.50/8,542.50 = 8,542.50/x
  3. Step 3: Cross multiply
    5,711.50x = 8,542.50 × 8,542.50
  4. Step 4: Simplify right side
    5,711.50x = 72,974,306.25
  5. Step 5: Solve for x
    x = 72,974,306.25/5,711.50
  6. Step 6: Final answer
    x = 12,776.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.