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Finding the Third Proportional to 223,976 and 487,317

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Solution

The third proportional to 223,976 and 487,317 is: 1,060,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,976 : 487,317 = 487,317 : x
  2. Step 2: Convert to fraction form
    223,976/487,317 = 487,317/x
  3. Step 3: Cross multiply
    223,976x = 487,317 × 487,317
  4. Step 4: Simplify right side
    223,976x = 237,477,858,489
  5. Step 5: Solve for x
    x = 237,477,858,489/223,976
  6. Step 6: Final answer
    x = 1,060,282.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.