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Finding the Third Proportional to 29.25 and 64.20

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Solution

The third proportional to 29.25 and 64.20 is: 140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.25 : 64.20 = 64.20 : x
  2. Step 2: Convert to fraction form
    29.25/64.20 = 64.20/x
  3. Step 3: Cross multiply
    29.25x = 64.20 × 64.20
  4. Step 4: Simplify right side
    29.25x = 4,121.04
  5. Step 5: Solve for x
    x = 4,121.04/29.25
  6. Step 6: Final answer
    x = 140.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.