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Finding the Third Proportional to 68,269 and 141,989

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Solution

The third proportional to 68,269 and 141,989 is: 295,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,269 : 141,989 = 141,989 : x
  2. Step 2: Convert to fraction form
    68,269/141,989 = 141,989/x
  3. Step 3: Cross multiply
    68,269x = 141,989 × 141,989
  4. Step 4: Simplify right side
    68,269x = 20,160,876,121
  5. Step 5: Solve for x
    x = 20,160,876,121/68,269
  6. Step 6: Final answer
    x = 295,315.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.