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Finding the Third Proportional to 7,861.50 and 9,966.38

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Solution

The third proportional to 7,861.50 and 9,966.38 is: 12,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.50 : 9,966.38 = 9,966.38 : x
  2. Step 2: Convert to fraction form
    7,861.50/9,966.38 = 9,966.38/x
  3. Step 3: Cross multiply
    7,861.50x = 9,966.38 × 9,966.38
  4. Step 4: Simplify right side
    7,861.50x = 99,328,630.64
  5. Step 5: Solve for x
    x = 99,328,630.64/7,861.50
  6. Step 6: Final answer
    x = 12,634.82

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.