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Finding the Third Proportional to 251,799 and 490,747

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Solution

The third proportional to 251,799 and 490,747 is: 956,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,799 : 490,747 = 490,747 : x
  2. Step 2: Convert to fraction form
    251,799/490,747 = 490,747/x
  3. Step 3: Cross multiply
    251,799x = 490,747 × 490,747
  4. Step 4: Simplify right side
    251,799x = 240,832,618,009
  5. Step 5: Solve for x
    x = 240,832,618,009/251,799
  6. Step 6: Final answer
    x = 956,447.87

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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.