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Finding the Third Proportional to 39 and 85.38

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Solution

The third proportional to 39 and 85.38 is: 186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39 : 85.38 = 85.38 : x
  2. Step 2: Convert to fraction form
    39/85.38 = 85.38/x
  3. Step 3: Cross multiply
    39x = 85.38 × 85.38
  4. Step 4: Simplify right side
    39x = 7,288.89
  5. Step 5: Solve for x
    x = 7,288.89/39
  6. Step 6: Final answer
    x = 186.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.