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Finding the Third Proportional to 36,972 and 78,858

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Solution

The third proportional to 36,972 and 78,858 is: 168,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 78,858 = 78,858 : x
  2. Step 2: Convert to fraction form
    36,972/78,858 = 78,858/x
  3. Step 3: Cross multiply
    36,972x = 78,858 × 78,858
  4. Step 4: Simplify right side
    36,972x = 6,218,584,164
  5. Step 5: Solve for x
    x = 6,218,584,164/36,972
  6. Step 6: Final answer
    x = 168,197.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.