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Finding the Third Proportional to 39,098 and 85,972

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Solution

The third proportional to 39,098 and 85,972 is: 189,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098 : 85,972 = 85,972 : x
  2. Step 2: Convert to fraction form
    39,098/85,972 = 85,972/x
  3. Step 3: Cross multiply
    39,098x = 85,972 × 85,972
  4. Step 4: Simplify right side
    39,098x = 7,391,184,784
  5. Step 5: Solve for x
    x = 7,391,184,784/39,098
  6. Step 6: Final answer
    x = 189,042.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.