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Finding the Third Proportional to 66.66 and 132.47

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Solution

The third proportional to 66.66 and 132.47 is: 263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.66 : 132.47 = 132.47 : x
  2. Step 2: Convert to fraction form
    66.66/132.47 = 132.47/x
  3. Step 3: Cross multiply
    66.66x = 132.47 × 132.47
  4. Step 4: Simplify right side
    66.66x = 17,547.97
  5. Step 5: Solve for x
    x = 17,547.97/66.66
  6. Step 6: Final answer
    x = 263.26

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.