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Finding the Third Proportional to 6,561.56 and 8,839.97

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Solution

The third proportional to 6,561.56 and 8,839.97 is: 11,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.56 : 8,839.97 = 8,839.97 : x
  2. Step 2: Convert to fraction form
    6,561.56/8,839.97 = 8,839.97/x
  3. Step 3: Cross multiply
    6,561.56x = 8,839.97 × 8,839.97
  4. Step 4: Simplify right side
    6,561.56x = 78,145,047.50
  5. Step 5: Solve for x
    x = 78,145,047.50/6,561.56
  6. Step 6: Final answer
    x = 11,909.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.