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Finding the Third Proportional to 87,435 and 190,676

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Solution

The third proportional to 87,435 and 190,676 is: 415,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,435 : 190,676 = 190,676 : x
  2. Step 2: Convert to fraction form
    87,435/190,676 = 190,676/x
  3. Step 3: Cross multiply
    87,435x = 190,676 × 190,676
  4. Step 4: Simplify right side
    87,435x = 36,357,336,976
  5. Step 5: Solve for x
    x = 36,357,336,976/87,435
  6. Step 6: Final answer
    x = 415,821.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.