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Finding the Third Proportional to 120,400 and 284,240

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Solution

The third proportional to 120,400 and 284,240 is: 671,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,400 : 284,240 = 284,240 : x
  2. Step 2: Convert to fraction form
    120,400/284,240 = 284,240/x
  3. Step 3: Cross multiply
    120,400x = 284,240 × 284,240
  4. Step 4: Simplify right side
    120,400x = 80,792,377,600
  5. Step 5: Solve for x
    x = 80,792,377,600/120,400
  6. Step 6: Final answer
    x = 671,033.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.