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Finding the Third Proportional to 66,868 and 106,455

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Solution

The third proportional to 66,868 and 106,455 is: 169,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,868 : 106,455 = 106,455 : x
  2. Step 2: Convert to fraction form
    66,868/106,455 = 106,455/x
  3. Step 3: Cross multiply
    66,868x = 106,455 × 106,455
  4. Step 4: Simplify right side
    66,868x = 11,332,667,025
  5. Step 5: Solve for x
    x = 11,332,667,025/66,868
  6. Step 6: Final answer
    x = 169,478.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.