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Finding the Third Proportional to 83,421.75 and 179,964.75

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Solution

The third proportional to 83,421.75 and 179,964.75 is: 388,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,421.75 : 179,964.75 = 179,964.75 : x
  2. Step 2: Convert to fraction form
    83,421.75/179,964.75 = 179,964.75/x
  3. Step 3: Cross multiply
    83,421.75x = 179,964.75 × 179,964.75
  4. Step 4: Simplify right side
    83,421.75x = 32,387,311,242.56
  5. Step 5: Solve for x
    x = 32,387,311,242.56/83,421.75
  6. Step 6: Final answer
    x = 388,235.82

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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.