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Finding the Third Proportional to 5,125.78 and 7,979.13

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Solution

The third proportional to 5,125.78 and 7,979.13 is: 12,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.78 : 7,979.13 = 7,979.13 : x
  2. Step 2: Convert to fraction form
    5,125.78/7,979.13 = 7,979.13/x
  3. Step 3: Cross multiply
    5,125.78x = 7,979.13 × 7,979.13
  4. Step 4: Simplify right side
    5,125.78x = 63,666,560.44
  5. Step 5: Solve for x
    x = 63,666,560.44/5,125.78
  6. Step 6: Final answer
    x = 12,420.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.