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Finding the Third Proportional to 187,843 and 417,728

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Solution

The third proportional to 187,843 and 417,728 is: 928,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,843 : 417,728 = 417,728 : x
  2. Step 2: Convert to fraction form
    187,843/417,728 = 417,728/x
  3. Step 3: Cross multiply
    187,843x = 417,728 × 417,728
  4. Step 4: Simplify right side
    187,843x = 174,496,681,984
  5. Step 5: Solve for x
    x = 174,496,681,984/187,843
  6. Step 6: Final answer
    x = 928,949.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.