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Finding the Third Proportional to 137,380 and 217,134

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Solution

The third proportional to 137,380 and 217,134 is: 343,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,380 : 217,134 = 217,134 : x
  2. Step 2: Convert to fraction form
    137,380/217,134 = 217,134/x
  3. Step 3: Cross multiply
    137,380x = 217,134 × 217,134
  4. Step 4: Simplify right side
    137,380x = 47,147,173,956
  5. Step 5: Solve for x
    x = 47,147,173,956/137,380
  6. Step 6: Final answer
    x = 343,188.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.