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Finding the Third Proportional to 54,286 and 86,166

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Solution

The third proportional to 54,286 and 86,166 is: 136,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,286 : 86,166 = 86,166 : x
  2. Step 2: Convert to fraction form
    54,286/86,166 = 86,166/x
  3. Step 3: Cross multiply
    54,286x = 86,166 × 86,166
  4. Step 4: Simplify right side
    54,286x = 7,424,579,556
  5. Step 5: Solve for x
    x = 7,424,579,556/54,286
  6. Step 6: Final answer
    x = 136,767.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.