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Finding the Third Proportional to 123,356.25 and 256,408.88

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Solution

The third proportional to 123,356.25 and 256,408.88 is: 532,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,356.25 : 256,408.88 = 256,408.88 : x
  2. Step 2: Convert to fraction form
    123,356.25/256,408.88 = 256,408.88/x
  3. Step 3: Cross multiply
    123,356.25x = 256,408.88 × 256,408.88
  4. Step 4: Simplify right side
    123,356.25x = 65,745,511,178.77
  5. Step 5: Solve for x
    x = 65,745,511,178.77/123,356.25
  6. Step 6: Final answer
    x = 532,972.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.