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Finding the Third Proportional to 166,937 and 258,830

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Solution

The third proportional to 166,937 and 258,830 is: 401,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,937 : 258,830 = 258,830 : x
  2. Step 2: Convert to fraction form
    166,937/258,830 = 258,830/x
  3. Step 3: Cross multiply
    166,937x = 258,830 × 258,830
  4. Step 4: Simplify right side
    166,937x = 66,992,968,900
  5. Step 5: Solve for x
    x = 66,992,968,900/166,937
  6. Step 6: Final answer
    x = 401,306.89

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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.