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Finding the Third Proportional to 187,158 and 405,845

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Solution

The third proportional to 187,158 and 405,845 is: 880,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,158 : 405,845 = 405,845 : x
  2. Step 2: Convert to fraction form
    187,158/405,845 = 405,845/x
  3. Step 3: Cross multiply
    187,158x = 405,845 × 405,845
  4. Step 4: Simplify right side
    187,158x = 164,710,164,025
  5. Step 5: Solve for x
    x = 164,710,164,025/187,158
  6. Step 6: Final answer
    x = 880,059.44

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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.