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Finding the Third Proportional to 166,676 and 258,117

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Solution

The third proportional to 166,676 and 258,117 is: 399,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,676 : 258,117 = 258,117 : x
  2. Step 2: Convert to fraction form
    166,676/258,117 = 258,117/x
  3. Step 3: Cross multiply
    166,676x = 258,117 × 258,117
  4. Step 4: Simplify right side
    166,676x = 66,624,385,689
  5. Step 5: Solve for x
    x = 66,624,385,689/166,676
  6. Step 6: Final answer
    x = 399,723.93

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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.