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Finding the Third Proportional to 218,917 and 472,762

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Solution

The third proportional to 218,917 and 472,762 is: 1,020,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,917 : 472,762 = 472,762 : x
  2. Step 2: Convert to fraction form
    218,917/472,762 = 472,762/x
  3. Step 3: Cross multiply
    218,917x = 472,762 × 472,762
  4. Step 4: Simplify right side
    218,917x = 223,503,908,644
  5. Step 5: Solve for x
    x = 223,503,908,644/218,917
  6. Step 6: Final answer
    x = 1,020,952.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.