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Finding the Third Proportional to 28.87 and 39.02

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Solution

The third proportional to 28.87 and 39.02 is: 52.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.87 : 39.02 = 39.02 : x
  2. Step 2: Convert to fraction form
    28.87/39.02 = 39.02/x
  3. Step 3: Cross multiply
    28.87x = 39.02 × 39.02
  4. Step 4: Simplify right side
    28.87x = 1,522.83
  5. Step 5: Solve for x
    x = 1,522.83/28.87
  6. Step 6: Final answer
    x = 52.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.