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Finding the Third Proportional to 78,678 and 169,866

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Solution

The third proportional to 78,678 and 169,866 is: 366,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,678 : 169,866 = 169,866 : x
  2. Step 2: Convert to fraction form
    78,678/169,866 = 169,866/x
  3. Step 3: Cross multiply
    78,678x = 169,866 × 169,866
  4. Step 4: Simplify right side
    78,678x = 28,854,457,956
  5. Step 5: Solve for x
    x = 28,854,457,956/78,678
  6. Step 6: Final answer
    x = 366,741.12

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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.