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Finding the Third Proportional to 212,850 and 284,022

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Solution

The third proportional to 212,850 and 284,022 is: 378,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,850 : 284,022 = 284,022 : x
  2. Step 2: Convert to fraction form
    212,850/284,022 = 284,022/x
  3. Step 3: Cross multiply
    212,850x = 284,022 × 284,022
  4. Step 4: Simplify right side
    212,850x = 80,668,496,484
  5. Step 5: Solve for x
    x = 80,668,496,484/212,850
  6. Step 6: Final answer
    x = 378,992.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.