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Finding the Third Proportional to 187,986 and 409,101

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Solution

The third proportional to 187,986 and 409,101 is: 890,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,986 : 409,101 = 409,101 : x
  2. Step 2: Convert to fraction form
    187,986/409,101 = 409,101/x
  3. Step 3: Cross multiply
    187,986x = 409,101 × 409,101
  4. Step 4: Simplify right side
    187,986x = 167,363,628,201
  5. Step 5: Solve for x
    x = 167,363,628,201/187,986
  6. Step 6: Final answer
    x = 890,298.36

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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.