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Finding the Third Proportional to 166,192 and 257,822

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Solution

The third proportional to 166,192 and 257,822 is: 399,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,192 : 257,822 = 257,822 : x
  2. Step 2: Convert to fraction form
    166,192/257,822 = 257,822/x
  3. Step 3: Cross multiply
    166,192x = 257,822 × 257,822
  4. Step 4: Simplify right side
    166,192x = 66,472,183,684
  5. Step 5: Solve for x
    x = 66,472,183,684/166,192
  6. Step 6: Final answer
    x = 399,972.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.