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Finding the Third Proportional to 73,592 and 163,839

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Solution

The third proportional to 73,592 and 163,839 is: 364,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,592 : 163,839 = 163,839 : x
  2. Step 2: Convert to fraction form
    73,592/163,839 = 163,839/x
  3. Step 3: Cross multiply
    73,592x = 163,839 × 163,839
  4. Step 4: Simplify right side
    73,592x = 26,843,217,921
  5. Step 5: Solve for x
    x = 26,843,217,921/73,592
  6. Step 6: Final answer
    x = 364,757.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.