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Finding the Third Proportional to 83,195.06 and 182,133.38

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Solution

The third proportional to 83,195.06 and 182,133.38 is: 398,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,195.06 : 182,133.38 = 182,133.38 : x
  2. Step 2: Convert to fraction form
    83,195.06/182,133.38 = 182,133.38/x
  3. Step 3: Cross multiply
    83,195.06x = 182,133.38 × 182,133.38
  4. Step 4: Simplify right side
    83,195.06x = 33,172,566,288.89
  5. Step 5: Solve for x
    x = 33,172,566,288.89/83,195.06
  6. Step 6: Final answer
    x = 398,732.39

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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.