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Finding the Third Proportional to 166,980 and 258,600

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Solution

The third proportional to 166,980 and 258,600 is: 400,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,980 : 258,600 = 258,600 : x
  2. Step 2: Convert to fraction form
    166,980/258,600 = 258,600/x
  3. Step 3: Cross multiply
    166,980x = 258,600 × 258,600
  4. Step 4: Simplify right side
    166,980x = 66,873,960,000
  5. Step 5: Solve for x
    x = 66,873,960,000/166,980
  6. Step 6: Final answer
    x = 400,490.84

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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.