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Finding the Third Proportional to 187,611 and 408,270

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Solution

The third proportional to 187,611 and 408,270 is: 888,457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,611 : 408,270 = 408,270 : x
  2. Step 2: Convert to fraction form
    187,611/408,270 = 408,270/x
  3. Step 3: Cross multiply
    187,611x = 408,270 × 408,270
  4. Step 4: Simplify right side
    187,611x = 166,684,392,900
  5. Step 5: Solve for x
    x = 166,684,392,900/187,611
  6. Step 6: Final answer
    x = 888,457.46

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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.