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Finding the Third Proportional to 212,638 and 288,909

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Solution

The third proportional to 212,638 and 288,909 is: 392,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,638 : 288,909 = 288,909 : x
  2. Step 2: Convert to fraction form
    212,638/288,909 = 288,909/x
  3. Step 3: Cross multiply
    212,638x = 288,909 × 288,909
  4. Step 4: Simplify right side
    212,638x = 83,468,410,281
  5. Step 5: Solve for x
    x = 83,468,410,281/212,638
  6. Step 6: Final answer
    x = 392,537.60

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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.