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Finding the Third Proportional to 149,536 and 213,286

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Solution

The third proportional to 149,536 and 213,286 is: 304,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,536 : 213,286 = 213,286 : x
  2. Step 2: Convert to fraction form
    149,536/213,286 = 213,286/x
  3. Step 3: Cross multiply
    149,536x = 213,286 × 213,286
  4. Step 4: Simplify right side
    149,536x = 45,490,917,796
  5. Step 5: Solve for x
    x = 45,490,917,796/149,536
  6. Step 6: Final answer
    x = 304,213.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.