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Finding the Third Proportional to 61,667 and 81,982.50

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Solution

The third proportional to 61,667 and 81,982.50 is: 108,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,667 : 81,982.50 = 81,982.50 : x
  2. Step 2: Convert to fraction form
    61,667/81,982.50 = 81,982.50/x
  3. Step 3: Cross multiply
    61,667x = 81,982.50 × 81,982.50
  4. Step 4: Simplify right side
    61,667x = 6,721,130,306.25
  5. Step 5: Solve for x
    x = 6,721,130,306.25/61,667
  6. Step 6: Final answer
    x = 108,990.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.