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Finding the Third Proportional to 58.25 and 125.13

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Solution

The third proportional to 58.25 and 125.13 is: 268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.25 : 125.13 = 125.13 : x
  2. Step 2: Convert to fraction form
    58.25/125.13 = 125.13/x
  3. Step 3: Cross multiply
    58.25x = 125.13 × 125.13
  4. Step 4: Simplify right side
    58.25x = 15,656.27
  5. Step 5: Solve for x
    x = 15,656.27/58.25
  6. Step 6: Final answer
    x = 268.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.