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Finding the Third Proportional to 5,125.78 and 8,252.51

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Solution

The third proportional to 5,125.78 and 8,252.51 is: 13,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.78 : 8,252.51 = 8,252.51 : x
  2. Step 2: Convert to fraction form
    5,125.78/8,252.51 = 8,252.51/x
  3. Step 3: Cross multiply
    5,125.78x = 8,252.51 × 8,252.51
  4. Step 4: Simplify right side
    5,125.78x = 68,103,885.20
  5. Step 5: Solve for x
    x = 68,103,885.20/5,125.78
  6. Step 6: Final answer
    x = 13,286.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.