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Finding the Third Proportional to 253,708 and 557,635

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Solution

The third proportional to 253,708 and 557,635 is: 1,225,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,708 : 557,635 = 557,635 : x
  2. Step 2: Convert to fraction form
    253,708/557,635 = 557,635/x
  3. Step 3: Cross multiply
    253,708x = 557,635 × 557,635
  4. Step 4: Simplify right side
    253,708x = 310,956,793,225
  5. Step 5: Solve for x
    x = 310,956,793,225/253,708
  6. Step 6: Final answer
    x = 1,225,648.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.