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Finding the Third Proportional to 381,642.75 and 572,512.50

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Solution

The third proportional to 381,642.75 and 572,512.50 is: 858,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,642.75 : 572,512.50 = 572,512.50 : x
  2. Step 2: Convert to fraction form
    381,642.75/572,512.50 = 572,512.50/x
  3. Step 3: Cross multiply
    381,642.75x = 572,512.50 × 572,512.50
  4. Step 4: Simplify right side
    381,642.75x = 327,770,562,656.25
  5. Step 5: Solve for x
    x = 327,770,562,656.25/381,642.75
  6. Step 6: Final answer
    x = 858,841.32

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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.