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Finding the Third Proportional to 12,687.75 and 27,243.75

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Solution

The third proportional to 12,687.75 and 27,243.75 is: 58,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.75 : 27,243.75 = 27,243.75 : x
  2. Step 2: Convert to fraction form
    12,687.75/27,243.75 = 27,243.75/x
  3. Step 3: Cross multiply
    12,687.75x = 27,243.75 × 27,243.75
  4. Step 4: Simplify right side
    12,687.75x = 742,221,914.06
  5. Step 5: Solve for x
    x = 742,221,914.06/12,687.75
  6. Step 6: Final answer
    x = 58,499.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.