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Finding the Third Proportional to 125.51 and 270.26

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Solution

The third proportional to 125.51 and 270.26 is: 581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.51 : 270.26 = 270.26 : x
  2. Step 2: Convert to fraction form
    125.51/270.26 = 270.26/x
  3. Step 3: Cross multiply
    125.51x = 270.26 × 270.26
  4. Step 4: Simplify right side
    125.51x = 73,042.45
  5. Step 5: Solve for x
    x = 73,042.45/125.51
  6. Step 6: Final answer
    x = 581.98

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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.