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Finding the Third Proportional to 38,520 and 79,344

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Solution

The third proportional to 38,520 and 79,344 is: 163,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,520 : 79,344 = 79,344 : x
  2. Step 2: Convert to fraction form
    38,520/79,344 = 79,344/x
  3. Step 3: Cross multiply
    38,520x = 79,344 × 79,344
  4. Step 4: Simplify right side
    38,520x = 6,295,470,336
  5. Step 5: Solve for x
    x = 6,295,470,336/38,520
  6. Step 6: Final answer
    x = 163,433.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.