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Finding the Third Proportional to 36,856 and 78,972

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Solution

The third proportional to 36,856 and 78,972 is: 169,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,856 : 78,972 = 78,972 : x
  2. Step 2: Convert to fraction form
    36,856/78,972 = 78,972/x
  3. Step 3: Cross multiply
    36,856x = 78,972 × 78,972
  4. Step 4: Simplify right side
    36,856x = 6,236,576,784
  5. Step 5: Solve for x
    x = 6,236,576,784/36,856
  6. Step 6: Final answer
    x = 169,214.69

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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.