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Finding the Third Proportional to 137,208 and 296,286

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Solution

The third proportional to 137,208 and 296,286 is: 639,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,208 : 296,286 = 296,286 : x
  2. Step 2: Convert to fraction form
    137,208/296,286 = 296,286/x
  3. Step 3: Cross multiply
    137,208x = 296,286 × 296,286
  4. Step 4: Simplify right side
    137,208x = 87,785,393,796
  5. Step 5: Solve for x
    x = 87,785,393,796/137,208
  6. Step 6: Final answer
    x = 639,797.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.