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Finding the Third Proportional to 257,256 and 557,442

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Solution

The third proportional to 257,256 and 557,442 is: 1,207,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,256 : 557,442 = 557,442 : x
  2. Step 2: Convert to fraction form
    257,256/557,442 = 557,442/x
  3. Step 3: Cross multiply
    257,256x = 557,442 × 557,442
  4. Step 4: Simplify right side
    257,256x = 310,741,583,364
  5. Step 5: Solve for x
    x = 310,741,583,364/257,256
  6. Step 6: Final answer
    x = 1,207,908.01

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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.