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Finding the Third Proportional to 38,644.50 and 81,440.25

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Solution

The third proportional to 38,644.50 and 81,440.25 is: 171,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.50 : 81,440.25 = 81,440.25 : x
  2. Step 2: Convert to fraction form
    38,644.50/81,440.25 = 81,440.25/x
  3. Step 3: Cross multiply
    38,644.50x = 81,440.25 × 81,440.25
  4. Step 4: Simplify right side
    38,644.50x = 6,632,514,320.06
  5. Step 5: Solve for x
    x = 6,632,514,320.06/38,644.50
  6. Step 6: Final answer
    x = 171,628.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.