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Finding the Third Proportional to 230,880 and 345,390

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Solution

The third proportional to 230,880 and 345,390 is: 516,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,880 : 345,390 = 345,390 : x
  2. Step 2: Convert to fraction form
    230,880/345,390 = 345,390/x
  3. Step 3: Cross multiply
    230,880x = 345,390 × 345,390
  4. Step 4: Simplify right side
    230,880x = 119,294,252,100
  5. Step 5: Solve for x
    x = 119,294,252,100/230,880
  6. Step 6: Final answer
    x = 516,693.75

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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.