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Finding the Third Proportional to 166,927 and 258,865

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Solution

The third proportional to 166,927 and 258,865 is: 401,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,927 : 258,865 = 258,865 : x
  2. Step 2: Convert to fraction form
    166,927/258,865 = 258,865/x
  3. Step 3: Cross multiply
    166,927x = 258,865 × 258,865
  4. Step 4: Simplify right side
    166,927x = 67,011,088,225
  5. Step 5: Solve for x
    x = 67,011,088,225/166,927
  6. Step 6: Final answer
    x = 401,439.48

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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.