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Finding the Third Proportional to 257,548 and 557,972

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Solution

The third proportional to 257,548 and 557,972 is: 1,208,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,548 : 557,972 = 557,972 : x
  2. Step 2: Convert to fraction form
    257,548/557,972 = 557,972/x
  3. Step 3: Cross multiply
    257,548x = 557,972 × 557,972
  4. Step 4: Simplify right side
    257,548x = 311,332,752,784
  5. Step 5: Solve for x
    x = 311,332,752,784/257,548
  6. Step 6: Final answer
    x = 1,208,833.90

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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.