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Finding the Third Proportional to 40,219 and 86,672

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Solution

The third proportional to 40,219 and 86,672 is: 186,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,219 : 86,672 = 86,672 : x
  2. Step 2: Convert to fraction form
    40,219/86,672 = 86,672/x
  3. Step 3: Cross multiply
    40,219x = 86,672 × 86,672
  4. Step 4: Simplify right side
    40,219x = 7,512,035,584
  5. Step 5: Solve for x
    x = 7,512,035,584/40,219
  6. Step 6: Final answer
    x = 186,778.28

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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.