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Finding the Third Proportional to 87,720 and 133,768

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Solution

The third proportional to 87,720 and 133,768 is: 203,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,720 : 133,768 = 133,768 : x
  2. Step 2: Convert to fraction form
    87,720/133,768 = 133,768/x
  3. Step 3: Cross multiply
    87,720x = 133,768 × 133,768
  4. Step 4: Simplify right side
    87,720x = 17,893,877,824
  5. Step 5: Solve for x
    x = 17,893,877,824/87,720
  6. Step 6: Final answer
    x = 203,988.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.