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Finding the Third Proportional to 123,219.56 and 187,135.31

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Solution

The third proportional to 123,219.56 and 187,135.31 is: 284,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,219.56 : 187,135.31 = 187,135.31 : x
  2. Step 2: Convert to fraction form
    123,219.56/187,135.31 = 187,135.31/x
  3. Step 3: Cross multiply
    123,219.56x = 187,135.31 × 187,135.31
  4. Step 4: Simplify right side
    123,219.56x = 35,019,625,184.47
  5. Step 5: Solve for x
    x = 35,019,625,184.47/123,219.56
  6. Step 6: Final answer
    x = 284,205.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.