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Finding the Third Proportional to 73,102.50 and 109,660.50

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Solution

The third proportional to 73,102.50 and 109,660.50 is: 164,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,102.50 : 109,660.50 = 109,660.50 : x
  2. Step 2: Convert to fraction form
    73,102.50/109,660.50 = 109,660.50/x
  3. Step 3: Cross multiply
    73,102.50x = 109,660.50 × 109,660.50
  4. Step 4: Simplify right side
    73,102.50x = 12,025,425,260.25
  5. Step 5: Solve for x
    x = 12,025,425,260.25/73,102.50
  6. Step 6: Final answer
    x = 164,500.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.