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Finding the Third Proportional to 68,963 and 89,811

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Solution

The third proportional to 68,963 and 89,811 is: 116,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,963 : 89,811 = 89,811 : x
  2. Step 2: Convert to fraction form
    68,963/89,811 = 89,811/x
  3. Step 3: Cross multiply
    68,963x = 89,811 × 89,811
  4. Step 4: Simplify right side
    68,963x = 8,066,015,721
  5. Step 5: Solve for x
    x = 8,066,015,721/68,963
  6. Step 6: Final answer
    x = 116,961.50

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.