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Finding the Third Proportional to 18.30 and 39.47

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Solution

The third proportional to 18.30 and 39.47 is: 85.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.30 : 39.47 = 39.47 : x
  2. Step 2: Convert to fraction form
    18.30/39.47 = 39.47/x
  3. Step 3: Cross multiply
    18.30x = 39.47 × 39.47
  4. Step 4: Simplify right side
    18.30x = 1,557.98
  5. Step 5: Solve for x
    x = 1,557.98/18.30
  6. Step 6: Final answer
    x = 85.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.