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Finding the Third Proportional to 135.13 and 265.88

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Solution

The third proportional to 135.13 and 265.88 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.13 : 265.88 = 265.88 : x
  2. Step 2: Convert to fraction form
    135.13/265.88 = 265.88/x
  3. Step 3: Cross multiply
    135.13x = 265.88 × 265.88
  4. Step 4: Simplify right side
    135.13x = 70,689.52
  5. Step 5: Solve for x
    x = 70,689.52/135.13
  6. Step 6: Final answer
    x = 523.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.