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Finding the Third Proportional to 39,860 and 84,580

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Solution

The third proportional to 39,860 and 84,580 is: 179,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,860 : 84,580 = 84,580 : x
  2. Step 2: Convert to fraction form
    39,860/84,580 = 84,580/x
  3. Step 3: Cross multiply
    39,860x = 84,580 × 84,580
  4. Step 4: Simplify right side
    39,860x = 7,153,776,400
  5. Step 5: Solve for x
    x = 7,153,776,400/39,860
  6. Step 6: Final answer
    x = 179,472.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.