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Finding the Third Proportional to 83,419 and 179,959

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Solution

The third proportional to 83,419 and 179,959 is: 388,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,419 : 179,959 = 179,959 : x
  2. Step 2: Convert to fraction form
    83,419/179,959 = 179,959/x
  3. Step 3: Cross multiply
    83,419x = 179,959 × 179,959
  4. Step 4: Simplify right side
    83,419x = 32,385,241,681
  5. Step 5: Solve for x
    x = 32,385,241,681/83,419
  6. Step 6: Final answer
    x = 388,223.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.