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Finding the Third Proportional to 261.66 and 566.81

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Solution

The third proportional to 261.66 and 566.81 is: 1,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.66 : 566.81 = 566.81 : x
  2. Step 2: Convert to fraction form
    261.66/566.81 = 566.81/x
  3. Step 3: Cross multiply
    261.66x = 566.81 × 566.81
  4. Step 4: Simplify right side
    261.66x = 321,276.41
  5. Step 5: Solve for x
    x = 321,276.41/261.66
  6. Step 6: Final answer
    x = 1,227.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.