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Finding the Third Proportional to 230,910.75 and 345,444.75

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Solution

The third proportional to 230,910.75 and 345,444.75 is: 516,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,910.75 : 345,444.75 = 345,444.75 : x
  2. Step 2: Convert to fraction form
    230,910.75/345,444.75 = 345,444.75/x
  3. Step 3: Cross multiply
    230,910.75x = 345,444.75 × 345,444.75
  4. Step 4: Simplify right side
    230,910.75x = 119,332,075,302.56
  5. Step 5: Solve for x
    x = 119,332,075,302.56/230,910.75
  6. Step 6: Final answer
    x = 516,788.74

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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.