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Finding the Third Proportional to 168,300 and 258,670

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Solution

The third proportional to 168,300 and 258,670 is: 397,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,300 : 258,670 = 258,670 : x
  2. Step 2: Convert to fraction form
    168,300/258,670 = 258,670/x
  3. Step 3: Cross multiply
    168,300x = 258,670 × 258,670
  4. Step 4: Simplify right side
    168,300x = 66,910,168,900
  5. Step 5: Solve for x
    x = 66,910,168,900/168,300
  6. Step 6: Final answer
    x = 397,564.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.