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Finding the Third Proportional to 121,247 and 285,812

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Solution

The third proportional to 121,247 and 285,812 is: 673,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,247 : 285,812 = 285,812 : x
  2. Step 2: Convert to fraction form
    121,247/285,812 = 285,812/x
  3. Step 3: Cross multiply
    121,247x = 285,812 × 285,812
  4. Step 4: Simplify right side
    121,247x = 81,688,499,344
  5. Step 5: Solve for x
    x = 81,688,499,344/121,247
  6. Step 6: Final answer
    x = 673,736.25

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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.