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Finding the Third Proportional to 36,520 and 78,668

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Solution

The third proportional to 36,520 and 78,668 is: 169,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,520 : 78,668 = 78,668 : x
  2. Step 2: Convert to fraction form
    36,520/78,668 = 78,668/x
  3. Step 3: Cross multiply
    36,520x = 78,668 × 78,668
  4. Step 4: Simplify right side
    36,520x = 6,188,654,224
  5. Step 5: Solve for x
    x = 6,188,654,224/36,520
  6. Step 6: Final answer
    x = 169,459.32

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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.