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Finding the Third Proportional to 68,176 and 105,808

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Solution

The third proportional to 68,176 and 105,808 is: 164,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,176 : 105,808 = 105,808 : x
  2. Step 2: Convert to fraction form
    68,176/105,808 = 105,808/x
  3. Step 3: Cross multiply
    68,176x = 105,808 × 105,808
  4. Step 4: Simplify right side
    68,176x = 11,195,332,864
  5. Step 5: Solve for x
    x = 11,195,332,864/68,176
  6. Step 6: Final answer
    x = 164,212.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.