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Finding the Third Proportional to 206,448 and 316,231.50

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Solution

The third proportional to 206,448 and 316,231.50 is: 484,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,448 : 316,231.50 = 316,231.50 : x
  2. Step 2: Convert to fraction form
    206,448/316,231.50 = 316,231.50/x
  3. Step 3: Cross multiply
    206,448x = 316,231.50 × 316,231.50
  4. Step 4: Simplify right side
    206,448x = 100,002,361,592.25
  5. Step 5: Solve for x
    x = 100,002,361,592.25/206,448
  6. Step 6: Final answer
    x = 484,394.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.