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Finding the Third Proportional to 215,843 and 457,987

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Solution

The third proportional to 215,843 and 457,987 is: 971,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,843 : 457,987 = 457,987 : x
  2. Step 2: Convert to fraction form
    215,843/457,987 = 457,987/x
  3. Step 3: Cross multiply
    215,843x = 457,987 × 457,987
  4. Step 4: Simplify right side
    215,843x = 209,752,092,169
  5. Step 5: Solve for x
    x = 209,752,092,169/215,843
  6. Step 6: Final answer
    x = 971,780.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.