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Finding the Third Proportional to 36,778 and 79,388

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Solution

The third proportional to 36,778 and 79,388 is: 171,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778 : 79,388 = 79,388 : x
  2. Step 2: Convert to fraction form
    36,778/79,388 = 79,388/x
  3. Step 3: Cross multiply
    36,778x = 79,388 × 79,388
  4. Step 4: Simplify right side
    36,778x = 6,302,454,544
  5. Step 5: Solve for x
    x = 6,302,454,544/36,778
  6. Step 6: Final answer
    x = 171,364.80

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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.