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Finding the Third Proportional to 122,850 and 268,785

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Solution

The third proportional to 122,850 and 268,785 is: 588,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,850 : 268,785 = 268,785 : x
  2. Step 2: Convert to fraction form
    122,850/268,785 = 268,785/x
  3. Step 3: Cross multiply
    122,850x = 268,785 × 268,785
  4. Step 4: Simplify right side
    122,850x = 72,245,376,225
  5. Step 5: Solve for x
    x = 72,245,376,225/122,850
  6. Step 6: Final answer
    x = 588,077.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.