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Finding the Third Proportional to 166,662 and 258,129

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Solution

The third proportional to 166,662 and 258,129 is: 399,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,662 : 258,129 = 258,129 : x
  2. Step 2: Convert to fraction form
    166,662/258,129 = 258,129/x
  3. Step 3: Cross multiply
    166,662x = 258,129 × 258,129
  4. Step 4: Simplify right side
    166,662x = 66,630,580,641
  5. Step 5: Solve for x
    x = 66,630,580,641/166,662
  6. Step 6: Final answer
    x = 399,794.68

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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.