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Finding the Third Proportional to 68,845 and 101,989

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Solution

The third proportional to 68,845 and 101,989 is: 151,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,845 : 101,989 = 101,989 : x
  2. Step 2: Convert to fraction form
    68,845/101,989 = 101,989/x
  3. Step 3: Cross multiply
    68,845x = 101,989 × 101,989
  4. Step 4: Simplify right side
    68,845x = 10,401,756,121
  5. Step 5: Solve for x
    x = 10,401,756,121/68,845
  6. Step 6: Final answer
    x = 151,089.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.