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Finding the Third Proportional to 71,728 and 146,623

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Solution

The third proportional to 71,728 and 146,623 is: 299,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,728 : 146,623 = 146,623 : x
  2. Step 2: Convert to fraction form
    71,728/146,623 = 146,623/x
  3. Step 3: Cross multiply
    71,728x = 146,623 × 146,623
  4. Step 4: Simplify right side
    71,728x = 21,498,304,129
  5. Step 5: Solve for x
    x = 21,498,304,129/71,728
  6. Step 6: Final answer
    x = 299,719.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.