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Finding the Third Proportional to 29.39 and 45.21

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Solution

The third proportional to 29.39 and 45.21 is: 69.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.39 : 45.21 = 45.21 : x
  2. Step 2: Convert to fraction form
    29.39/45.21 = 45.21/x
  3. Step 3: Cross multiply
    29.39x = 45.21 × 45.21
  4. Step 4: Simplify right side
    29.39x = 2,044.03
  5. Step 5: Solve for x
    x = 2,044.03/29.39
  6. Step 6: Final answer
    x = 69.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.