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Finding the Third Proportional to 36,520 and 79,738

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Solution

The third proportional to 36,520 and 79,738 is: 174,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,520 : 79,738 = 79,738 : x
  2. Step 2: Convert to fraction form
    36,520/79,738 = 79,738/x
  3. Step 3: Cross multiply
    36,520x = 79,738 × 79,738
  4. Step 4: Simplify right side
    36,520x = 6,358,148,644
  5. Step 5: Solve for x
    x = 6,358,148,644/36,520
  6. Step 6: Final answer
    x = 174,100.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.