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Finding the Third Proportional to 36,320 and 78,379

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Solution

The third proportional to 36,320 and 78,379 is: 169,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,320 : 78,379 = 78,379 : x
  2. Step 2: Convert to fraction form
    36,320/78,379 = 78,379/x
  3. Step 3: Cross multiply
    36,320x = 78,379 × 78,379
  4. Step 4: Simplify right side
    36,320x = 6,143,267,641
  5. Step 5: Solve for x
    x = 6,143,267,641/36,320
  6. Step 6: Final answer
    x = 169,142.83

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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.