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Finding the Third Proportional to 87,655 and 191,896

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Solution

The third proportional to 87,655 and 191,896 is: 420,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,655 : 191,896 = 191,896 : x
  2. Step 2: Convert to fraction form
    87,655/191,896 = 191,896/x
  3. Step 3: Cross multiply
    87,655x = 191,896 × 191,896
  4. Step 4: Simplify right side
    87,655x = 36,824,074,816
  5. Step 5: Solve for x
    x = 36,824,074,816/87,655
  6. Step 6: Final answer
    x = 420,102.39

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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.