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Finding the Third Proportional to 39,617 and 87,009

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Solution

The third proportional to 39,617 and 87,009 is: 191,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,617 : 87,009 = 87,009 : x
  2. Step 2: Convert to fraction form
    39,617/87,009 = 87,009/x
  3. Step 3: Cross multiply
    39,617x = 87,009 × 87,009
  4. Step 4: Simplify right side
    39,617x = 7,570,566,081
  5. Step 5: Solve for x
    x = 7,570,566,081/39,617
  6. Step 6: Final answer
    x = 191,093.88

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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.