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Finding the Third Proportional to 125.38 and 270.63

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Solution

The third proportional to 125.38 and 270.63 is: 584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.38 : 270.63 = 270.63 : x
  2. Step 2: Convert to fraction form
    125.38/270.63 = 270.63/x
  3. Step 3: Cross multiply
    125.38x = 270.63 × 270.63
  4. Step 4: Simplify right side
    125.38x = 73,237.89
  5. Step 5: Solve for x
    x = 73,237.89/125.38
  6. Step 6: Final answer
    x = 584.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.