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Finding the Third Proportional to 66 and 72.25

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Solution

The third proportional to 66 and 72.25 is: 79.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 72.25 = 72.25 : x
  2. Step 2: Convert to fraction form
    66/72.25 = 72.25/x
  3. Step 3: Cross multiply
    66x = 72.25 × 72.25
  4. Step 4: Simplify right side
    66x = 5,220.06
  5. Step 5: Solve for x
    x = 5,220.06/66
  6. Step 6: Final answer
    x = 79.09

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.