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Finding the Third Proportional to 123,046.50 and 200,922

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Solution

The third proportional to 123,046.50 and 200,922 is: 328,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,046.50 : 200,922 = 200,922 : x
  2. Step 2: Convert to fraction form
    123,046.50/200,922 = 200,922/x
  3. Step 3: Cross multiply
    123,046.50x = 200,922 × 200,922
  4. Step 4: Simplify right side
    123,046.50x = 40,369,650,084
  5. Step 5: Solve for x
    x = 40,369,650,084/123,046.50
  6. Step 6: Final answer
    x = 328,084.51

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.