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Finding the Third Proportional to 187,167 and 405,863

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Solution

The third proportional to 187,167 and 405,863 is: 880,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,167 : 405,863 = 405,863 : x
  2. Step 2: Convert to fraction form
    187,167/405,863 = 405,863/x
  3. Step 3: Cross multiply
    187,167x = 405,863 × 405,863
  4. Step 4: Simplify right side
    187,167x = 164,724,774,769
  5. Step 5: Solve for x
    x = 164,724,774,769/187,167
  6. Step 6: Final answer
    x = 880,095.18

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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.