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Finding the Third Proportional to 166,376 and 258,588

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Solution

The third proportional to 166,376 and 258,588 is: 401,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,376 : 258,588 = 258,588 : x
  2. Step 2: Convert to fraction form
    166,376/258,588 = 258,588/x
  3. Step 3: Cross multiply
    166,376x = 258,588 × 258,588
  4. Step 4: Simplify right side
    166,376x = 66,867,753,744
  5. Step 5: Solve for x
    x = 66,867,753,744/166,376
  6. Step 6: Final answer
    x = 401,907.45

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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.