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Finding the Third Proportional to 12,578.75 and 26,918.81

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Solution

The third proportional to 12,578.75 and 26,918.81 is: 57,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.75 : 26,918.81 = 26,918.81 : x
  2. Step 2: Convert to fraction form
    12,578.75/26,918.81 = 26,918.81/x
  3. Step 3: Cross multiply
    12,578.75x = 26,918.81 × 26,918.81
  4. Step 4: Simplify right side
    12,578.75x = 724,622,466.41
  5. Step 5: Solve for x
    x = 724,622,466.41/12,578.75
  6. Step 6: Final answer
    x = 57,606.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.