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Finding the Third Proportional to 36,857.21 and 78,971.20

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Solution

The third proportional to 36,857.21 and 78,971.20 is: 169,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,857.21 : 78,971.20 = 78,971.20 : x
  2. Step 2: Convert to fraction form
    36,857.21/78,971.20 = 78,971.20/x
  3. Step 3: Cross multiply
    36,857.21x = 78,971.20 × 78,971.20
  4. Step 4: Simplify right side
    36,857.21x = 6,236,450,923.01
  5. Step 5: Solve for x
    x = 6,236,450,923.01/36,857.21
  6. Step 6: Final answer
    x = 169,205.70

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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.