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Finding the Third Proportional to 217,731 and 482,118

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Solution

The third proportional to 217,731 and 482,118 is: 1,067,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,731 : 482,118 = 482,118 : x
  2. Step 2: Convert to fraction form
    217,731/482,118 = 482,118/x
  3. Step 3: Cross multiply
    217,731x = 482,118 × 482,118
  4. Step 4: Simplify right side
    217,731x = 232,437,765,924
  5. Step 5: Solve for x
    x = 232,437,765,924/217,731
  6. Step 6: Final answer
    x = 1,067,545.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.