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Finding the Third Proportional to 381,000.75 and 522,456

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Solution

The third proportional to 381,000.75 and 522,456 is: 716,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,000.75 : 522,456 = 522,456 : x
  2. Step 2: Convert to fraction form
    381,000.75/522,456 = 522,456/x
  3. Step 3: Cross multiply
    381,000.75x = 522,456 × 522,456
  4. Step 4: Simplify right side
    381,000.75x = 272,960,271,936
  5. Step 5: Solve for x
    x = 272,960,271,936/381,000.75
  6. Step 6: Final answer
    x = 716,429.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.