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Finding the Third Proportional to 12,615.75 and 18,679.36

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Solution

The third proportional to 12,615.75 and 18,679.36 is: 27,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.75 : 18,679.36 = 18,679.36 : x
  2. Step 2: Convert to fraction form
    12,615.75/18,679.36 = 18,679.36/x
  3. Step 3: Cross multiply
    12,615.75x = 18,679.36 × 18,679.36
  4. Step 4: Simplify right side
    12,615.75x = 348,918,466.66
  5. Step 5: Solve for x
    x = 348,918,466.66/12,615.75
  6. Step 6: Final answer
    x = 27,657.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.