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Finding the Third Proportional to 59.13 and 127.81

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Solution

The third proportional to 59.13 and 127.81 is: 276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.13 : 127.81 = 127.81 : x
  2. Step 2: Convert to fraction form
    59.13/127.81 = 127.81/x
  3. Step 3: Cross multiply
    59.13x = 127.81 × 127.81
  4. Step 4: Simplify right side
    59.13x = 16,336.04
  5. Step 5: Solve for x
    x = 16,336.04/59.13
  6. Step 6: Final answer
    x = 276.30

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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.