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Finding the Third Proportional to 39.02 and 80.58

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Solution

The third proportional to 39.02 and 80.58 is: 166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.02 : 80.58 = 80.58 : x
  2. Step 2: Convert to fraction form
    39.02/80.58 = 80.58/x
  3. Step 3: Cross multiply
    39.02x = 80.58 × 80.58
  4. Step 4: Simplify right side
    39.02x = 6,492.83
  5. Step 5: Solve for x
    x = 6,492.83/39.02
  6. Step 6: Final answer
    x = 166.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.