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Finding the Third Proportional to 257,708 and 362,910

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Solution

The third proportional to 257,708 and 362,910 is: 511,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,708 : 362,910 = 362,910 : x
  2. Step 2: Convert to fraction form
    257,708/362,910 = 362,910/x
  3. Step 3: Cross multiply
    257,708x = 362,910 × 362,910
  4. Step 4: Simplify right side
    257,708x = 131,703,668,100
  5. Step 5: Solve for x
    x = 131,703,668,100/257,708
  6. Step 6: Final answer
    x = 511,057.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.