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Finding the Third Proportional to 257,264 and 557,458

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Solution

The third proportional to 257,264 and 557,458 is: 1,207,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,264 : 557,458 = 557,458 : x
  2. Step 2: Convert to fraction form
    257,264/557,458 = 557,458/x
  3. Step 3: Cross multiply
    257,264x = 557,458 × 557,458
  4. Step 4: Simplify right side
    257,264x = 310,759,421,764
  5. Step 5: Solve for x
    x = 310,759,421,764/257,264
  6. Step 6: Final answer
    x = 1,207,939.79

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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.