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Finding the Third Proportional to 5,125.78 and 7,992.42

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Solution

The third proportional to 5,125.78 and 7,992.42 is: 12,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.78 : 7,992.42 = 7,992.42 : x
  2. Step 2: Convert to fraction form
    5,125.78/7,992.42 = 7,992.42/x
  3. Step 3: Cross multiply
    5,125.78x = 7,992.42 × 7,992.42
  4. Step 4: Simplify right side
    5,125.78x = 63,878,807.43
  5. Step 5: Solve for x
    x = 63,878,807.43/5,125.78
  6. Step 6: Final answer
    x = 12,462.26

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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.