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Finding the Third Proportional to 218,726 and 467,782

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Solution

The third proportional to 218,726 and 467,782 is: 1,000,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,726 : 467,782 = 467,782 : x
  2. Step 2: Convert to fraction form
    218,726/467,782 = 467,782/x
  3. Step 3: Cross multiply
    218,726x = 467,782 × 467,782
  4. Step 4: Simplify right side
    218,726x = 218,819,999,524
  5. Step 5: Solve for x
    x = 218,819,999,524/218,726
  6. Step 6: Final answer
    x = 1,000,429.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.