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Finding the Third Proportional to 168,840 and 356,670

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Solution

The third proportional to 168,840 and 356,670 is: 753,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,840 : 356,670 = 356,670 : x
  2. Step 2: Convert to fraction form
    168,840/356,670 = 356,670/x
  3. Step 3: Cross multiply
    168,840x = 356,670 × 356,670
  4. Step 4: Simplify right side
    168,840x = 127,213,488,900
  5. Step 5: Solve for x
    x = 127,213,488,900/168,840
  6. Step 6: Final answer
    x = 753,455.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.