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Finding the Third Proportional to 38,979 and 84,546

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Solution

The third proportional to 38,979 and 84,546 is: 183,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,979 : 84,546 = 84,546 : x
  2. Step 2: Convert to fraction form
    38,979/84,546 = 84,546/x
  3. Step 3: Cross multiply
    38,979x = 84,546 × 84,546
  4. Step 4: Simplify right side
    38,979x = 7,148,026,116
  5. Step 5: Solve for x
    x = 7,148,026,116/38,979
  6. Step 6: Final answer
    x = 183,381.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.