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Finding the Third Proportional to 87,458 and 191,728

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Solution

The third proportional to 87,458 and 191,728 is: 420,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,458 : 191,728 = 191,728 : x
  2. Step 2: Convert to fraction form
    87,458/191,728 = 191,728/x
  3. Step 3: Cross multiply
    87,458x = 191,728 × 191,728
  4. Step 4: Simplify right side
    87,458x = 36,759,625,984
  5. Step 5: Solve for x
    x = 36,759,625,984/87,458
  6. Step 6: Final answer
    x = 420,311.76

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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.