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Finding the Third Proportional to 87,685 and 191,771

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Solution

The third proportional to 87,685 and 191,771 is: 419,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,685 : 191,771 = 191,771 : x
  2. Step 2: Convert to fraction form
    87,685/191,771 = 191,771/x
  3. Step 3: Cross multiply
    87,685x = 191,771 × 191,771
  4. Step 4: Simplify right side
    87,685x = 36,776,116,441
  5. Step 5: Solve for x
    x = 36,776,116,441/87,685
  6. Step 6: Final answer
    x = 419,411.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.