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Finding the Third Proportional to 81,810 and 109,937.25

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Solution

The third proportional to 81,810 and 109,937.25 is: 147,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,810 : 109,937.25 = 109,937.25 : x
  2. Step 2: Convert to fraction form
    81,810/109,937.25 = 109,937.25/x
  3. Step 3: Cross multiply
    81,810x = 109,937.25 × 109,937.25
  4. Step 4: Simplify right side
    81,810x = 12,086,198,937.56
  5. Step 5: Solve for x
    x = 12,086,198,937.56/81,810
  6. Step 6: Final answer
    x = 147,734.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.