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Finding the Third Proportional to 220,049.79 and 319,694.98

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Solution

The third proportional to 220,049.79 and 319,694.98 is: 464,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,049.79 : 319,694.98 = 319,694.98 : x
  2. Step 2: Convert to fraction form
    220,049.79/319,694.98 = 319,694.98/x
  3. Step 3: Cross multiply
    220,049.79x = 319,694.98 × 319,694.98
  4. Step 4: Simplify right side
    220,049.79x = 102,204,878,039.30
  5. Step 5: Solve for x
    x = 102,204,878,039.30/220,049.79
  6. Step 6: Final answer
    x = 464,462.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.