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Finding the Third Proportional to 81,001.50 and 109,043.63

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Solution

The third proportional to 81,001.50 and 109,043.63 is: 146,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,001.50 : 109,043.63 = 109,043.63 : x
  2. Step 2: Convert to fraction form
    81,001.50/109,043.63 = 109,043.63/x
  3. Step 3: Cross multiply
    81,001.50x = 109,043.63 × 109,043.63
  4. Step 4: Simplify right side
    81,001.50x = 11,890,512,153.14
  5. Step 5: Solve for x
    x = 11,890,512,153.14/81,001.50
  6. Step 6: Final answer
    x = 146,793.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.