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Finding the Third Proportional to 39,098 and 81,099

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Solution

The third proportional to 39,098 and 81,099 is: 168,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098 : 81,099 = 81,099 : x
  2. Step 2: Convert to fraction form
    39,098/81,099 = 81,099/x
  3. Step 3: Cross multiply
    39,098x = 81,099 × 81,099
  4. Step 4: Simplify right side
    39,098x = 6,577,047,801
  5. Step 5: Solve for x
    x = 6,577,047,801/39,098
  6. Step 6: Final answer
    x = 168,219.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.