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Finding the Third Proportional to 87,932 and 193,786

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Solution

The third proportional to 87,932 and 193,786 is: 427,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,932 : 193,786 = 193,786 : x
  2. Step 2: Convert to fraction form
    87,932/193,786 = 193,786/x
  3. Step 3: Cross multiply
    87,932x = 193,786 × 193,786
  4. Step 4: Simplify right side
    87,932x = 37,553,013,796
  5. Step 5: Solve for x
    x = 37,553,013,796/87,932
  6. Step 6: Final answer
    x = 427,068.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.