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Finding the Third Proportional to 126,721 and 294,659

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Solution

The third proportional to 126,721 and 294,659 is: 685,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,721 : 294,659 = 294,659 : x
  2. Step 2: Convert to fraction form
    126,721/294,659 = 294,659/x
  3. Step 3: Cross multiply
    126,721x = 294,659 × 294,659
  4. Step 4: Simplify right side
    126,721x = 86,823,926,281
  5. Step 5: Solve for x
    x = 86,823,926,281/126,721
  6. Step 6: Final answer
    x = 685,158.15

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.