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Finding the Third Proportional to 40,989 and 90,003

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Solution

The third proportional to 40,989 and 90,003 is: 197,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,989 : 90,003 = 90,003 : x
  2. Step 2: Convert to fraction form
    40,989/90,003 = 90,003/x
  3. Step 3: Cross multiply
    40,989x = 90,003 × 90,003
  4. Step 4: Simplify right side
    40,989x = 8,100,540,009
  5. Step 5: Solve for x
    x = 8,100,540,009/40,989
  6. Step 6: Final answer
    x = 197,627.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.