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Finding the Third Proportional to 212,192 and 288,351

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Solution

The third proportional to 212,192 and 288,351 is: 391,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,192 : 288,351 = 288,351 : x
  2. Step 2: Convert to fraction form
    212,192/288,351 = 288,351/x
  3. Step 3: Cross multiply
    212,192x = 288,351 × 288,351
  4. Step 4: Simplify right side
    212,192x = 83,146,299,201
  5. Step 5: Solve for x
    x = 83,146,299,201/212,192
  6. Step 6: Final answer
    x = 391,844.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.