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Finding the Third Proportional to 36,788 and 78,760

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Solution

The third proportional to 36,788 and 78,760 is: 168,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,788 : 78,760 = 78,760 : x
  2. Step 2: Convert to fraction form
    36,788/78,760 = 78,760/x
  3. Step 3: Cross multiply
    36,788x = 78,760 × 78,760
  4. Step 4: Simplify right side
    36,788x = 6,203,137,600
  5. Step 5: Solve for x
    x = 6,203,137,600/36,788
  6. Step 6: Final answer
    x = 168,618.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.