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Finding the Third Proportional to 39,923.43 and 81,000.16

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Solution

The third proportional to 39,923.43 and 81,000.16 is: 164,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,923.43 : 81,000.16 = 81,000.16 : x
  2. Step 2: Convert to fraction form
    39,923.43/81,000.16 = 81,000.16/x
  3. Step 3: Cross multiply
    39,923.43x = 81,000.16 × 81,000.16
  4. Step 4: Simplify right side
    39,923.43x = 6,561,025,628.93
  5. Step 5: Solve for x
    x = 6,561,025,628.93/39,923.43
  6. Step 6: Final answer
    x = 164,340.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.