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Finding the Third Proportional to 166,452 and 257,445

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Solution

The third proportional to 166,452 and 257,445 is: 398,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,452 : 257,445 = 257,445 : x
  2. Step 2: Convert to fraction form
    166,452/257,445 = 257,445/x
  3. Step 3: Cross multiply
    166,452x = 257,445 × 257,445
  4. Step 4: Simplify right side
    166,452x = 66,277,928,025
  5. Step 5: Solve for x
    x = 66,277,928,025/166,452
  6. Step 6: Final answer
    x = 398,180.42

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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.