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Finding the Third Proportional to 141,344 and 198,112

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Solution

The third proportional to 141,344 and 198,112 is: 277,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,344 : 198,112 = 198,112 : x
  2. Step 2: Convert to fraction form
    141,344/198,112 = 198,112/x
  3. Step 3: Cross multiply
    141,344x = 198,112 × 198,112
  4. Step 4: Simplify right side
    141,344x = 39,248,364,544
  5. Step 5: Solve for x
    x = 39,248,364,544/141,344
  6. Step 6: Final answer
    x = 277,679.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.