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Finding the Third Proportional to 38,980 and 84,110

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Solution

The third proportional to 38,980 and 84,110 is: 181,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,980 : 84,110 = 84,110 : x
  2. Step 2: Convert to fraction form
    38,980/84,110 = 84,110/x
  3. Step 3: Cross multiply
    38,980x = 84,110 × 84,110
  4. Step 4: Simplify right side
    38,980x = 7,074,492,100
  5. Step 5: Solve for x
    x = 7,074,492,100/38,980
  6. Step 6: Final answer
    x = 181,490.31

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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.