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Finding the Third Proportional to 61.00 and 126.81

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Solution

The third proportional to 61.00 and 126.81 is: 263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.00 : 126.81 = 126.81 : x
  2. Step 2: Convert to fraction form
    61.00/126.81 = 126.81/x
  3. Step 3: Cross multiply
    61.00x = 126.81 × 126.81
  4. Step 4: Simplify right side
    61.00x = 16,080.08
  5. Step 5: Solve for x
    x = 16,080.08/61.00
  6. Step 6: Final answer
    x = 263.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.