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Finding the Third Proportional to 125,431.59 and 178,805.39

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Solution

The third proportional to 125,431.59 and 178,805.39 is: 254,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,431.59 : 178,805.39 = 178,805.39 : x
  2. Step 2: Convert to fraction form
    125,431.59/178,805.39 = 178,805.39/x
  3. Step 3: Cross multiply
    125,431.59x = 178,805.39 × 178,805.39
  4. Step 4: Simplify right side
    125,431.59x = 31,971,367,716.56
  5. Step 5: Solve for x
    x = 31,971,367,716.56/125,431.59
  6. Step 6: Final answer
    x = 254,890.87

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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.