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Finding the Third Proportional to 212,196 and 288,357

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Solution

The third proportional to 212,196 and 288,357 is: 391,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,196 : 288,357 = 288,357 : x
  2. Step 2: Convert to fraction form
    212,196/288,357 = 288,357/x
  3. Step 3: Cross multiply
    212,196x = 288,357 × 288,357
  4. Step 4: Simplify right side
    212,196x = 83,149,759,449
  5. Step 5: Solve for x
    x = 83,149,759,449/212,196
  6. Step 6: Final answer
    x = 391,853.57

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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.