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Finding the Third Proportional to 39,438 and 86,154

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Solution

The third proportional to 39,438 and 86,154 is: 188,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,438 : 86,154 = 86,154 : x
  2. Step 2: Convert to fraction form
    39,438/86,154 = 86,154/x
  3. Step 3: Cross multiply
    39,438x = 86,154 × 86,154
  4. Step 4: Simplify right side
    39,438x = 7,422,511,716
  5. Step 5: Solve for x
    x = 7,422,511,716/39,438
  6. Step 6: Final answer
    x = 188,207.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.