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Finding the Third Proportional to 9,861.75 and 11,605.78

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Solution

The third proportional to 9,861.75 and 11,605.78 is: 13,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.75 : 11,605.78 = 11,605.78 : x
  2. Step 2: Convert to fraction form
    9,861.75/11,605.78 = 11,605.78/x
  3. Step 3: Cross multiply
    9,861.75x = 11,605.78 × 11,605.78
  4. Step 4: Simplify right side
    9,861.75x = 134,694,158.42
  5. Step 5: Solve for x
    x = 134,694,158.42/9,861.75
  6. Step 6: Final answer
    x = 13,658.24

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.