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Finding the Third Proportional to 166,464 and 257,466

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Solution

The third proportional to 166,464 and 257,466 is: 398,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,464 : 257,466 = 257,466 : x
  2. Step 2: Convert to fraction form
    166,464/257,466 = 257,466/x
  3. Step 3: Cross multiply
    166,464x = 257,466 × 257,466
  4. Step 4: Simplify right side
    166,464x = 66,288,741,156
  5. Step 5: Solve for x
    x = 66,288,741,156/166,464
  6. Step 6: Final answer
    x = 398,216.68

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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.