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Finding the Third Proportional to 55,410 and 133,588

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Solution

The third proportional to 55,410 and 133,588 is: 322,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,410 : 133,588 = 133,588 : x
  2. Step 2: Convert to fraction form
    55,410/133,588 = 133,588/x
  3. Step 3: Cross multiply
    55,410x = 133,588 × 133,588
  4. Step 4: Simplify right side
    55,410x = 17,845,753,744
  5. Step 5: Solve for x
    x = 17,845,753,744/55,410
  6. Step 6: Final answer
    x = 322,067.38

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.