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Finding the Third Proportional to 204,871 and 321,382.50

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Solution

The third proportional to 204,871 and 321,382.50 is: 504,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,871 : 321,382.50 = 321,382.50 : x
  2. Step 2: Convert to fraction form
    204,871/321,382.50 = 321,382.50/x
  3. Step 3: Cross multiply
    204,871x = 321,382.50 × 321,382.50
  4. Step 4: Simplify right side
    204,871x = 103,286,711,306.25
  5. Step 5: Solve for x
    x = 103,286,711,306.25/204,871
  6. Step 6: Final answer
    x = 504,154.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.