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Finding the Third Proportional to 39.02 and 84.53

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Solution

The third proportional to 39.02 and 84.53 is: 183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.02 : 84.53 = 84.53 : x
  2. Step 2: Convert to fraction form
    39.02/84.53 = 84.53/x
  3. Step 3: Cross multiply
    39.02x = 84.53 × 84.53
  4. Step 4: Simplify right side
    39.02x = 7,145.86
  5. Step 5: Solve for x
    x = 7,145.86/39.02
  6. Step 6: Final answer
    x = 183.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.