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Finding the Third Proportional to 100,118 and 139,971

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Solution

The third proportional to 100,118 and 139,971 is: 195,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,118 : 139,971 = 139,971 : x
  2. Step 2: Convert to fraction form
    100,118/139,971 = 139,971/x
  3. Step 3: Cross multiply
    100,118x = 139,971 × 139,971
  4. Step 4: Simplify right side
    100,118x = 19,591,880,841
  5. Step 5: Solve for x
    x = 19,591,880,841/100,118
  6. Step 6: Final answer
    x = 195,687.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.