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Finding the Third Proportional to 29.74 and 45.88

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Solution

The third proportional to 29.74 and 45.88 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.74 : 45.88 = 45.88 : x
  2. Step 2: Convert to fraction form
    29.74/45.88 = 45.88/x
  3. Step 3: Cross multiply
    29.74x = 45.88 × 45.88
  4. Step 4: Simplify right side
    29.74x = 2,104.87
  5. Step 5: Solve for x
    x = 2,104.87/29.74
  6. Step 6: Final answer
    x = 70.77

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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.