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Finding the Third Proportional to 125.93 and 270.21

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Solution

The third proportional to 125.93 and 270.21 is: 579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.93 : 270.21 = 270.21 : x
  2. Step 2: Convert to fraction form
    125.93/270.21 = 270.21/x
  3. Step 3: Cross multiply
    125.93x = 270.21 × 270.21
  4. Step 4: Simplify right side
    125.93x = 73,013.95
  5. Step 5: Solve for x
    x = 73,013.95/125.93
  6. Step 6: Final answer
    x = 579.80

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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.