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Finding the Third Proportional to 158,072 and 281,057

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Solution

The third proportional to 158,072 and 281,057 is: 499,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,072 : 281,057 = 281,057 : x
  2. Step 2: Convert to fraction form
    158,072/281,057 = 281,057/x
  3. Step 3: Cross multiply
    158,072x = 281,057 × 281,057
  4. Step 4: Simplify right side
    158,072x = 78,993,037,249
  5. Step 5: Solve for x
    x = 78,993,037,249/158,072
  6. Step 6: Final answer
    x = 499,728.21

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.