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Finding the Third Proportional to 285,052.50 and 383,757.75

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Solution

The third proportional to 285,052.50 and 383,757.75 is: 516,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,052.50 : 383,757.75 = 383,757.75 : x
  2. Step 2: Convert to fraction form
    285,052.50/383,757.75 = 383,757.75/x
  3. Step 3: Cross multiply
    285,052.50x = 383,757.75 × 383,757.75
  4. Step 4: Simplify right side
    285,052.50x = 147,270,010,685.06
  5. Step 5: Solve for x
    x = 147,270,010,685.06/285,052.50
  6. Step 6: Final answer
    x = 516,641.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.