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Finding the Third Proportional to 257,499 and 557,874

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Solution

The third proportional to 257,499 and 557,874 is: 1,208,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,499 : 557,874 = 557,874 : x
  2. Step 2: Convert to fraction form
    257,499/557,874 = 557,874/x
  3. Step 3: Cross multiply
    257,499x = 557,874 × 557,874
  4. Step 4: Simplify right side
    257,499x = 311,223,399,876
  5. Step 5: Solve for x
    x = 311,223,399,876/257,499
  6. Step 6: Final answer
    x = 1,208,639.26

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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.