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Finding the Third Proportional to 212,214 and 331,236

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Solution

The third proportional to 212,214 and 331,236 is: 517,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,214 : 331,236 = 331,236 : x
  2. Step 2: Convert to fraction form
    212,214/331,236 = 331,236/x
  3. Step 3: Cross multiply
    212,214x = 331,236 × 331,236
  4. Step 4: Simplify right side
    212,214x = 109,717,287,696
  5. Step 5: Solve for x
    x = 109,717,287,696/212,214
  6. Step 6: Final answer
    x = 517,012.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.