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Finding the Third Proportional to 3,100.78 and 4,711.92

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Solution

The third proportional to 3,100.78 and 4,711.92 is: 7,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.78 : 4,711.92 = 4,711.92 : x
  2. Step 2: Convert to fraction form
    3,100.78/4,711.92 = 4,711.92/x
  3. Step 3: Cross multiply
    3,100.78x = 4,711.92 × 4,711.92
  4. Step 4: Simplify right side
    3,100.78x = 22,202,207.76
  5. Step 5: Solve for x
    x = 22,202,207.76/3,100.78
  6. Step 6: Final answer
    x = 7,160.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.