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Finding the Third Proportional to 61.75 and 125.13

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Solution

The third proportional to 61.75 and 125.13 is: 253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.75 : 125.13 = 125.13 : x
  2. Step 2: Convert to fraction form
    61.75/125.13 = 125.13/x
  3. Step 3: Cross multiply
    61.75x = 125.13 × 125.13
  4. Step 4: Simplify right side
    61.75x = 15,656.27
  5. Step 5: Solve for x
    x = 15,656.27/61.75
  6. Step 6: Final answer
    x = 253.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.