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Finding the Third Proportional to 40,297.50 and 86,542.50

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Solution

The third proportional to 40,297.50 and 86,542.50 is: 185,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,297.50 : 86,542.50 = 86,542.50 : x
  2. Step 2: Convert to fraction form
    40,297.50/86,542.50 = 86,542.50/x
  3. Step 3: Cross multiply
    40,297.50x = 86,542.50 × 86,542.50
  4. Step 4: Simplify right side
    40,297.50x = 7,489,604,306.25
  5. Step 5: Solve for x
    x = 7,489,604,306.25/40,297.50
  6. Step 6: Final answer
    x = 185,857.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.