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Finding the Third Proportional to 36,978 and 79,788

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Solution

The third proportional to 36,978 and 79,788 is: 172,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978 : 79,788 = 79,788 : x
  2. Step 2: Convert to fraction form
    36,978/79,788 = 79,788/x
  3. Step 3: Cross multiply
    36,978x = 79,788 × 79,788
  4. Step 4: Simplify right side
    36,978x = 6,366,124,944
  5. Step 5: Solve for x
    x = 6,366,124,944/36,978
  6. Step 6: Final answer
    x = 172,159.80

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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.