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Finding the Third Proportional to 39,143 and 86,218

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Solution

The third proportional to 39,143 and 86,218 is: 189,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,143 : 86,218 = 86,218 : x
  2. Step 2: Convert to fraction form
    39,143/86,218 = 86,218/x
  3. Step 3: Cross multiply
    39,143x = 86,218 × 86,218
  4. Step 4: Simplify right side
    39,143x = 7,433,543,524
  5. Step 5: Solve for x
    x = 7,433,543,524/39,143
  6. Step 6: Final answer
    x = 189,907.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.