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Finding the Third Proportional to 123,218.25 and 250,902.75

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Solution

The third proportional to 123,218.25 and 250,902.75 is: 510,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,218.25 : 250,902.75 = 250,902.75 : x
  2. Step 2: Convert to fraction form
    123,218.25/250,902.75 = 250,902.75/x
  3. Step 3: Cross multiply
    123,218.25x = 250,902.75 × 250,902.75
  4. Step 4: Simplify right side
    123,218.25x = 62,952,189,957.56
  5. Step 5: Solve for x
    x = 62,952,189,957.56/123,218.25
  6. Step 6: Final answer
    x = 510,899.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.