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Finding the Third Proportional to 230,823.50 and 345,313

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Solution

The third proportional to 230,823.50 and 345,313 is: 516,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,823.50 : 345,313 = 345,313 : x
  2. Step 2: Convert to fraction form
    230,823.50/345,313 = 345,313/x
  3. Step 3: Cross multiply
    230,823.50x = 345,313 × 345,313
  4. Step 4: Simplify right side
    230,823.50x = 119,241,067,969
  5. Step 5: Solve for x
    x = 119,241,067,969/230,823.50
  6. Step 6: Final answer
    x = 516,589.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.