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Finding the Third Proportional to 126,266 and 280,558

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Solution

The third proportional to 126,266 and 280,558 is: 623,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,266 : 280,558 = 280,558 : x
  2. Step 2: Convert to fraction form
    126,266/280,558 = 280,558/x
  3. Step 3: Cross multiply
    126,266x = 280,558 × 280,558
  4. Step 4: Simplify right side
    126,266x = 78,712,791,364
  5. Step 5: Solve for x
    x = 78,712,791,364/126,266
  6. Step 6: Final answer
    x = 623,388.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.