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Finding the Third Proportional to 187,165 and 405,859

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Solution

The third proportional to 187,165 and 405,859 is: 880,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,165 : 405,859 = 405,859 : x
  2. Step 2: Convert to fraction form
    187,165/405,859 = 405,859/x
  3. Step 3: Cross multiply
    187,165x = 405,859 × 405,859
  4. Step 4: Simplify right side
    187,165x = 164,721,527,881
  5. Step 5: Solve for x
    x = 164,721,527,881/187,165
  6. Step 6: Final answer
    x = 880,087.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.