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Finding the Third Proportional to 106,056 and 149,864

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Solution

The third proportional to 106,056 and 149,864 is: 211,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,056 : 149,864 = 149,864 : x
  2. Step 2: Convert to fraction form
    106,056/149,864 = 149,864/x
  3. Step 3: Cross multiply
    106,056x = 149,864 × 149,864
  4. Step 4: Simplify right side
    106,056x = 22,459,218,496
  5. Step 5: Solve for x
    x = 22,459,218,496/106,056
  6. Step 6: Final answer
    x = 211,767.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.