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Finding the Third Proportional to 36,549 and 78,738

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Solution

The third proportional to 36,549 and 78,738 is: 169,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,549 : 78,738 = 78,738 : x
  2. Step 2: Convert to fraction form
    36,549/78,738 = 78,738/x
  3. Step 3: Cross multiply
    36,549x = 78,738 × 78,738
  4. Step 4: Simplify right side
    36,549x = 6,199,672,644
  5. Step 5: Solve for x
    x = 6,199,672,644/36,549
  6. Step 6: Final answer
    x = 169,626.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.