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Finding the Third Proportional to 173,828 and 368,257

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Solution

The third proportional to 173,828 and 368,257 is: 780,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,828 : 368,257 = 368,257 : x
  2. Step 2: Convert to fraction form
    173,828/368,257 = 368,257/x
  3. Step 3: Cross multiply
    173,828x = 368,257 × 368,257
  4. Step 4: Simplify right side
    173,828x = 135,613,218,049
  5. Step 5: Solve for x
    x = 135,613,218,049/173,828
  6. Step 6: Final answer
    x = 780,157.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.