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Finding the Third Proportional to 166,312 and 255,983

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Solution

The third proportional to 166,312 and 255,983 is: 394,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,312 : 255,983 = 255,983 : x
  2. Step 2: Convert to fraction form
    166,312/255,983 = 255,983/x
  3. Step 3: Cross multiply
    166,312x = 255,983 × 255,983
  4. Step 4: Simplify right side
    166,312x = 65,527,296,289
  5. Step 5: Solve for x
    x = 65,527,296,289/166,312
  6. Step 6: Final answer
    x = 394,002.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.