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Finding the Third Proportional to 212,305 and 331,377

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Solution

The third proportional to 212,305 and 331,377 is: 517,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,305 : 331,377 = 331,377 : x
  2. Step 2: Convert to fraction form
    212,305/331,377 = 331,377/x
  3. Step 3: Cross multiply
    212,305x = 331,377 × 331,377
  4. Step 4: Simplify right side
    212,305x = 109,810,716,129
  5. Step 5: Solve for x
    x = 109,810,716,129/212,305
  6. Step 6: Final answer
    x = 517,230.95

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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.