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Finding the Third Proportional to 126,378 and 193,779

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Solution

The third proportional to 126,378 and 193,779 is: 297,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,378 : 193,779 = 193,779 : x
  2. Step 2: Convert to fraction form
    126,378/193,779 = 193,779/x
  3. Step 3: Cross multiply
    126,378x = 193,779 × 193,779
  4. Step 4: Simplify right side
    126,378x = 37,550,300,841
  5. Step 5: Solve for x
    x = 37,550,300,841/126,378
  6. Step 6: Final answer
    x = 297,126.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.