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Finding the Third Proportional to 166,763 and 258,609

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Solution

The third proportional to 166,763 and 258,609 is: 401,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,763 : 258,609 = 258,609 : x
  2. Step 2: Convert to fraction form
    166,763/258,609 = 258,609/x
  3. Step 3: Cross multiply
    166,763x = 258,609 × 258,609
  4. Step 4: Simplify right side
    166,763x = 66,878,614,881
  5. Step 5: Solve for x
    x = 66,878,614,881/166,763
  6. Step 6: Final answer
    x = 401,039.89

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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.