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Finding the Third Proportional to 39,908 and 85,148

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Solution

The third proportional to 39,908 and 85,148 is: 181,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,908 : 85,148 = 85,148 : x
  2. Step 2: Convert to fraction form
    39,908/85,148 = 85,148/x
  3. Step 3: Cross multiply
    39,908x = 85,148 × 85,148
  4. Step 4: Simplify right side
    39,908x = 7,250,181,904
  5. Step 5: Solve for x
    x = 7,250,181,904/39,908
  6. Step 6: Final answer
    x = 181,672.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.