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Finding the Third Proportional to 138,297.38 and 281,670.75

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Solution

The third proportional to 138,297.38 and 281,670.75 is: 573,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,297.38 : 281,670.75 = 281,670.75 : x
  2. Step 2: Convert to fraction form
    138,297.38/281,670.75 = 281,670.75/x
  3. Step 3: Cross multiply
    138,297.38x = 281,670.75 × 281,670.75
  4. Step 4: Simplify right side
    138,297.38x = 79,338,411,405.56
  5. Step 5: Solve for x
    x = 79,338,411,405.56/138,297.38
  6. Step 6: Final answer
    x = 573,679.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.