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Finding the Third Proportional to 68,880 and 146,028

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Solution

The third proportional to 68,880 and 146,028 is: 309,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,880 : 146,028 = 146,028 : x
  2. Step 2: Convert to fraction form
    68,880/146,028 = 146,028/x
  3. Step 3: Cross multiply
    68,880x = 146,028 × 146,028
  4. Step 4: Simplify right side
    68,880x = 21,324,176,784
  5. Step 5: Solve for x
    x = 21,324,176,784/68,880
  6. Step 6: Final answer
    x = 309,584.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.