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Finding the Third Proportional to 40,012 and 87,223

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Solution

The third proportional to 40,012 and 87,223 is: 190,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,012 : 87,223 = 87,223 : x
  2. Step 2: Convert to fraction form
    40,012/87,223 = 87,223/x
  3. Step 3: Cross multiply
    40,012x = 87,223 × 87,223
  4. Step 4: Simplify right side
    40,012x = 7,607,851,729
  5. Step 5: Solve for x
    x = 7,607,851,729/40,012
  6. Step 6: Final answer
    x = 190,139.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.