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Finding the Third Proportional to 31,896 and 68,895

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Solution

The third proportional to 31,896 and 68,895 is: 148,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896 : 68,895 = 68,895 : x
  2. Step 2: Convert to fraction form
    31,896/68,895 = 68,895/x
  3. Step 3: Cross multiply
    31,896x = 68,895 × 68,895
  4. Step 4: Simplify right side
    31,896x = 4,746,521,025
  5. Step 5: Solve for x
    x = 4,746,521,025/31,896
  6. Step 6: Final answer
    x = 148,812.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.