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Finding the Third Proportional to 126,378 and 292,563

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Solution

The third proportional to 126,378 and 292,563 is: 677,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,378 : 292,563 = 292,563 : x
  2. Step 2: Convert to fraction form
    126,378/292,563 = 292,563/x
  3. Step 3: Cross multiply
    126,378x = 292,563 × 292,563
  4. Step 4: Simplify right side
    126,378x = 85,593,108,969
  5. Step 5: Solve for x
    x = 85,593,108,969/126,378
  6. Step 6: Final answer
    x = 677,278.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.