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Finding the Third Proportional to 206,176 and 319,240

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Solution

The third proportional to 206,176 and 319,240 is: 494,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,176 : 319,240 = 319,240 : x
  2. Step 2: Convert to fraction form
    206,176/319,240 = 319,240/x
  3. Step 3: Cross multiply
    206,176x = 319,240 × 319,240
  4. Step 4: Simplify right side
    206,176x = 101,914,177,600
  5. Step 5: Solve for x
    x = 101,914,177,600/206,176
  6. Step 6: Final answer
    x = 494,306.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.