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Finding the Third Proportional to 30.38 and 52.92

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Solution

The third proportional to 30.38 and 52.92 is: 92.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.38 : 52.92 = 52.92 : x
  2. Step 2: Convert to fraction form
    30.38/52.92 = 52.92/x
  3. Step 3: Cross multiply
    30.38x = 52.92 × 52.92
  4. Step 4: Simplify right side
    30.38x = 2,800.41
  5. Step 5: Solve for x
    x = 2,800.41/30.38
  6. Step 6: Final answer
    x = 92.19

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.