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Finding the Third Proportional to 12,010.78 and 19,297.13

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Solution

The third proportional to 12,010.78 and 19,297.13 is: 31,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.78 : 19,297.13 = 19,297.13 : x
  2. Step 2: Convert to fraction form
    12,010.78/19,297.13 = 19,297.13/x
  3. Step 3: Cross multiply
    12,010.78x = 19,297.13 × 19,297.13
  4. Step 4: Simplify right side
    12,010.78x = 372,379,033.27
  5. Step 5: Solve for x
    x = 372,379,033.27/12,010.78
  6. Step 6: Final answer
    x = 31,003.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.