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Finding the Third Proportional to 187,222 and 281,022

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Solution

The third proportional to 187,222 and 281,022 is: 421,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,222 : 281,022 = 281,022 : x
  2. Step 2: Convert to fraction form
    187,222/281,022 = 281,022/x
  3. Step 3: Cross multiply
    187,222x = 281,022 × 281,022
  4. Step 4: Simplify right side
    187,222x = 78,973,364,484
  5. Step 5: Solve for x
    x = 78,973,364,484/187,222
  6. Step 6: Final answer
    x = 421,816.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.