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Finding the Third Proportional to 230,879 and 345,389

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Solution

The third proportional to 230,879 and 345,389 is: 516,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,879 : 345,389 = 345,389 : x
  2. Step 2: Convert to fraction form
    230,879/345,389 = 345,389/x
  3. Step 3: Cross multiply
    230,879x = 345,389 × 345,389
  4. Step 4: Simplify right side
    230,879x = 119,293,561,321
  5. Step 5: Solve for x
    x = 119,293,561,321/230,879
  6. Step 6: Final answer
    x = 516,692.99

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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.