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Finding the Third Proportional to 194,400 and 280,944

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Solution

The third proportional to 194,400 and 280,944 is: 406,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,400 : 280,944 = 280,944 : x
  2. Step 2: Convert to fraction form
    194,400/280,944 = 280,944/x
  3. Step 3: Cross multiply
    194,400x = 280,944 × 280,944
  4. Step 4: Simplify right side
    194,400x = 78,929,531,136
  5. Step 5: Solve for x
    x = 78,929,531,136/194,400
  6. Step 6: Final answer
    x = 406,016.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.