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Finding the Third Proportional to 36,778.50 and 79,389

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Solution

The third proportional to 36,778.50 and 79,389 is: 171,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778.50 : 79,389 = 79,389 : x
  2. Step 2: Convert to fraction form
    36,778.50/79,389 = 79,389/x
  3. Step 3: Cross multiply
    36,778.50x = 79,389 × 79,389
  4. Step 4: Simplify right side
    36,778.50x = 6,302,613,321
  5. Step 5: Solve for x
    x = 6,302,613,321/36,778.50
  6. Step 6: Final answer
    x = 171,366.79

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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.