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Finding the Third Proportional to 87,645 and 192,786

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Solution

The third proportional to 87,645 and 192,786 is: 424,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,645 : 192,786 = 192,786 : x
  2. Step 2: Convert to fraction form
    87,645/192,786 = 192,786/x
  3. Step 3: Cross multiply
    87,645x = 192,786 × 192,786
  4. Step 4: Simplify right side
    87,645x = 37,166,441,796
  5. Step 5: Solve for x
    x = 37,166,441,796/87,645
  6. Step 6: Final answer
    x = 424,056.61

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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.