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Finding the Third Proportional to 166,679 and 258,155

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Solution

The third proportional to 166,679 and 258,155 is: 399,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,679 : 258,155 = 258,155 : x
  2. Step 2: Convert to fraction form
    166,679/258,155 = 258,155/x
  3. Step 3: Cross multiply
    166,679x = 258,155 × 258,155
  4. Step 4: Simplify right side
    166,679x = 66,644,004,025
  5. Step 5: Solve for x
    x = 66,644,004,025/166,679
  6. Step 6: Final answer
    x = 399,834.44

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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.