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Finding the Third Proportional to 257,241 and 557,250

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Solution

The third proportional to 257,241 and 557,250 is: 1,207,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,241 : 557,250 = 557,250 : x
  2. Step 2: Convert to fraction form
    257,241/557,250 = 557,250/x
  3. Step 3: Cross multiply
    257,241x = 557,250 × 557,250
  4. Step 4: Simplify right side
    257,241x = 310,527,562,500
  5. Step 5: Solve for x
    x = 310,527,562,500/257,241
  6. Step 6: Final answer
    x = 1,207,146.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.