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Finding the Third Proportional to 29.43 and 64.23

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Solution

The third proportional to 29.43 and 64.23 is: 140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.43 : 64.23 = 64.23 : x
  2. Step 2: Convert to fraction form
    29.43/64.23 = 64.23/x
  3. Step 3: Cross multiply
    29.43x = 64.23 × 64.23
  4. Step 4: Simplify right side
    29.43x = 4,125.55
  5. Step 5: Solve for x
    x = 4,125.55/29.43
  6. Step 6: Final answer
    x = 140.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.