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Finding the Third Proportional to 81,883.13 and 179,040.66

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Solution

The third proportional to 81,883.13 and 179,040.66 is: 391,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,883.13 : 179,040.66 = 179,040.66 : x
  2. Step 2: Convert to fraction form
    81,883.13/179,040.66 = 179,040.66/x
  3. Step 3: Cross multiply
    81,883.13x = 179,040.66 × 179,040.66
  4. Step 4: Simplify right side
    81,883.13x = 32,055,556,590.43
  5. Step 5: Solve for x
    x = 32,055,556,590.43/81,883.13
  6. Step 6: Final answer
    x = 391,479.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.