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Finding the Third Proportional to 187,967 and 405,275

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Solution

The third proportional to 187,967 and 405,275 is: 873,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,967 : 405,275 = 405,275 : x
  2. Step 2: Convert to fraction form
    187,967/405,275 = 405,275/x
  3. Step 3: Cross multiply
    187,967x = 405,275 × 405,275
  4. Step 4: Simplify right side
    187,967x = 164,247,825,625
  5. Step 5: Solve for x
    x = 164,247,825,625/187,967
  6. Step 6: Final answer
    x = 873,812.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.