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Finding the Third Proportional to 212,625 and 342,591

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Solution

The third proportional to 212,625 and 342,591 is: 551,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,625 : 342,591 = 342,591 : x
  2. Step 2: Convert to fraction form
    212,625/342,591 = 342,591/x
  3. Step 3: Cross multiply
    212,625x = 342,591 × 342,591
  4. Step 4: Simplify right side
    212,625x = 117,368,593,281
  5. Step 5: Solve for x
    x = 117,368,593,281/212,625
  6. Step 6: Final answer
    x = 551,998.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.