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Finding the Third Proportional to 212,328 and 288,414

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Solution

The third proportional to 212,328 and 288,414 is: 391,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,328 : 288,414 = 288,414 : x
  2. Step 2: Convert to fraction form
    212,328/288,414 = 288,414/x
  3. Step 3: Cross multiply
    212,328x = 288,414 × 288,414
  4. Step 4: Simplify right side
    212,328x = 83,182,635,396
  5. Step 5: Solve for x
    x = 83,182,635,396/212,328
  6. Step 6: Final answer
    x = 391,764.80

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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.