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Finding the Third Proportional to 87,579 and 133,938

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Solution

The third proportional to 87,579 and 133,938 is: 204,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,579 : 133,938 = 133,938 : x
  2. Step 2: Convert to fraction form
    87,579/133,938 = 133,938/x
  3. Step 3: Cross multiply
    87,579x = 133,938 × 133,938
  4. Step 4: Simplify right side
    87,579x = 17,939,387,844
  5. Step 5: Solve for x
    x = 17,939,387,844/87,579
  6. Step 6: Final answer
    x = 204,836.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.