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Finding the Third Proportional to 38,974 and 84,175

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Solution

The third proportional to 38,974 and 84,175 is: 181,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974 : 84,175 = 84,175 : x
  2. Step 2: Convert to fraction form
    38,974/84,175 = 84,175/x
  3. Step 3: Cross multiply
    38,974x = 84,175 × 84,175
  4. Step 4: Simplify right side
    38,974x = 7,085,430,625
  5. Step 5: Solve for x
    x = 7,085,430,625/38,974
  6. Step 6: Final answer
    x = 181,798.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.