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Finding the Third Proportional to 212,281 and 288,449

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Solution

The third proportional to 212,281 and 288,449 is: 391,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,281 : 288,449 = 288,449 : x
  2. Step 2: Convert to fraction form
    212,281/288,449 = 288,449/x
  3. Step 3: Cross multiply
    212,281x = 288,449 × 288,449
  4. Step 4: Simplify right side
    212,281x = 83,202,825,601
  5. Step 5: Solve for x
    x = 83,202,825,601/212,281
  6. Step 6: Final answer
    x = 391,946.64

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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.