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Finding the Third Proportional to 123,178.50 and 171,618.75

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Solution

The third proportional to 123,178.50 and 171,618.75 is: 239,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,178.50 : 171,618.75 = 171,618.75 : x
  2. Step 2: Convert to fraction form
    123,178.50/171,618.75 = 171,618.75/x
  3. Step 3: Cross multiply
    123,178.50x = 171,618.75 × 171,618.75
  4. Step 4: Simplify right side
    123,178.50x = 29,452,995,351.56
  5. Step 5: Solve for x
    x = 29,452,995,351.56/123,178.50
  6. Step 6: Final answer
    x = 239,108.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.