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Finding the Third Proportional to 166,889 and 258,252

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Solution

The third proportional to 166,889 and 258,252 is: 399,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,889 : 258,252 = 258,252 : x
  2. Step 2: Convert to fraction form
    166,889/258,252 = 258,252/x
  3. Step 3: Cross multiply
    166,889x = 258,252 × 258,252
  4. Step 4: Simplify right side
    166,889x = 66,694,095,504
  5. Step 5: Solve for x
    x = 66,694,095,504/166,889
  6. Step 6: Final answer
    x = 399,631.46

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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.