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Finding the Third Proportional to 137,204 and 296,278

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Solution

The third proportional to 137,204 and 296,278 is: 639,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,204 : 296,278 = 296,278 : x
  2. Step 2: Convert to fraction form
    137,204/296,278 = 296,278/x
  3. Step 3: Cross multiply
    137,204x = 296,278 × 296,278
  4. Step 4: Simplify right side
    137,204x = 87,780,653,284
  5. Step 5: Solve for x
    x = 87,780,653,284/137,204
  6. Step 6: Final answer
    x = 639,782.03

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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.