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Finding the Third Proportional to 251,728 and 490,680

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Solution

The third proportional to 251,728 and 490,680 is: 956,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,728 : 490,680 = 490,680 : x
  2. Step 2: Convert to fraction form
    251,728/490,680 = 490,680/x
  3. Step 3: Cross multiply
    251,728x = 490,680 × 490,680
  4. Step 4: Simplify right side
    251,728x = 240,766,862,400
  5. Step 5: Solve for x
    x = 240,766,862,400/251,728
  6. Step 6: Final answer
    x = 956,456.42

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.