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Finding the Third Proportional to 83,046 and 181,548

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Solution

The third proportional to 83,046 and 181,548 is: 396,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,046 : 181,548 = 181,548 : x
  2. Step 2: Convert to fraction form
    83,046/181,548 = 181,548/x
  3. Step 3: Cross multiply
    83,046x = 181,548 × 181,548
  4. Step 4: Simplify right side
    83,046x = 32,959,676,304
  5. Step 5: Solve for x
    x = 32,959,676,304/83,046
  6. Step 6: Final answer
    x = 396,884.57

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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.