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Finding the Third Proportional to 212,856 and 284,031

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Solution

The third proportional to 212,856 and 284,031 is: 379,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,856 : 284,031 = 284,031 : x
  2. Step 2: Convert to fraction form
    212,856/284,031 = 284,031/x
  3. Step 3: Cross multiply
    212,856x = 284,031 × 284,031
  4. Step 4: Simplify right side
    212,856x = 80,673,608,961
  5. Step 5: Solve for x
    x = 80,673,608,961/212,856
  6. Step 6: Final answer
    x = 379,005.57

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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.