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Finding the Third Proportional to 122,241 and 257,756

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Solution

The third proportional to 122,241 and 257,756 is: 543,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,241 : 257,756 = 257,756 : x
  2. Step 2: Convert to fraction form
    122,241/257,756 = 257,756/x
  3. Step 3: Cross multiply
    122,241x = 257,756 × 257,756
  4. Step 4: Simplify right side
    122,241x = 66,438,155,536
  5. Step 5: Solve for x
    x = 66,438,155,536/122,241
  6. Step 6: Final answer
    x = 543,501.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.