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Finding the Third Proportional to 187,518 and 281,297.25

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Solution

The third proportional to 187,518 and 281,297.25 is: 421,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,518 : 281,297.25 = 281,297.25 : x
  2. Step 2: Convert to fraction form
    187,518/281,297.25 = 281,297.25/x
  3. Step 3: Cross multiply
    187,518x = 281,297.25 × 281,297.25
  4. Step 4: Simplify right side
    187,518x = 79,128,142,857.56
  5. Step 5: Solve for x
    x = 79,128,142,857.56/187,518
  6. Step 6: Final answer
    x = 421,976.25

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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.