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Finding the Third Proportional to 187,896 and 411,990

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Solution

The third proportional to 187,896 and 411,990 is: 903,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,896 : 411,990 = 411,990 : x
  2. Step 2: Convert to fraction form
    187,896/411,990 = 411,990/x
  3. Step 3: Cross multiply
    187,896x = 411,990 × 411,990
  4. Step 4: Simplify right side
    187,896x = 169,735,760,100
  5. Step 5: Solve for x
    x = 169,735,760,100/187,896
  6. Step 6: Final answer
    x = 903,349.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.