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Finding the Third Proportional to 125,478 and 178,872.75

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Solution

The third proportional to 125,478 and 178,872.75 is: 254,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,478 : 178,872.75 = 178,872.75 : x
  2. Step 2: Convert to fraction form
    125,478/178,872.75 = 178,872.75/x
  3. Step 3: Cross multiply
    125,478x = 178,872.75 × 178,872.75
  4. Step 4: Simplify right side
    125,478x = 31,995,460,692.56
  5. Step 5: Solve for x
    x = 31,995,460,692.56/125,478
  6. Step 6: Final answer
    x = 254,988.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.