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Finding the Third Proportional to 166,860 and 254,421

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Solution

The third proportional to 166,860 and 254,421 is: 387,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,860 : 254,421 = 254,421 : x
  2. Step 2: Convert to fraction form
    166,860/254,421 = 254,421/x
  3. Step 3: Cross multiply
    166,860x = 254,421 × 254,421
  4. Step 4: Simplify right side
    166,860x = 64,730,045,241
  5. Step 5: Solve for x
    x = 64,730,045,241/166,860
  6. Step 6: Final answer
    x = 387,930.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.