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Finding the Third Proportional to 86,380 and 133,259

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Solution

The third proportional to 86,380 and 133,259 is: 205,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,380 : 133,259 = 133,259 : x
  2. Step 2: Convert to fraction form
    86,380/133,259 = 133,259/x
  3. Step 3: Cross multiply
    86,380x = 133,259 × 133,259
  4. Step 4: Simplify right side
    86,380x = 17,757,961,081
  5. Step 5: Solve for x
    x = 17,757,961,081/86,380
  6. Step 6: Final answer
    x = 205,579.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.