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Finding the Third Proportional to 8,770.78 and 10,240.17

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Solution

The third proportional to 8,770.78 and 10,240.17 is: 11,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.78 : 10,240.17 = 10,240.17 : x
  2. Step 2: Convert to fraction form
    8,770.78/10,240.17 = 10,240.17/x
  3. Step 3: Cross multiply
    8,770.78x = 10,240.17 × 10,240.17
  4. Step 4: Simplify right side
    8,770.78x = 104,861,120.03
  5. Step 5: Solve for x
    x = 104,861,120.03/8,770.78
  6. Step 6: Final answer
    x = 11,955.73

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.