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Finding the Third Proportional to 187,328 and 407,908

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Solution

The third proportional to 187,328 and 407,908 is: 888,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,328 : 407,908 = 407,908 : x
  2. Step 2: Convert to fraction form
    187,328/407,908 = 407,908/x
  3. Step 3: Cross multiply
    187,328x = 407,908 × 407,908
  4. Step 4: Simplify right side
    187,328x = 166,388,936,464
  5. Step 5: Solve for x
    x = 166,388,936,464/187,328
  6. Step 6: Final answer
    x = 888,222.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.