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Finding the Third Proportional to 3,712.78 and 5,043.80

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Solution

The third proportional to 3,712.78 and 5,043.80 is: 6,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.78 : 5,043.80 = 5,043.80 : x
  2. Step 2: Convert to fraction form
    3,712.78/5,043.80 = 5,043.80/x
  3. Step 3: Cross multiply
    3,712.78x = 5,043.80 × 5,043.80
  4. Step 4: Simplify right side
    3,712.78x = 25,439,886.92
  5. Step 5: Solve for x
    x = 25,439,886.92/3,712.78
  6. Step 6: Final answer
    x = 6,851.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.