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Finding the Third Proportional to 12,615.75 and 17,138.25

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Solution

The third proportional to 12,615.75 and 17,138.25 is: 23,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.75 : 17,138.25 = 17,138.25 : x
  2. Step 2: Convert to fraction form
    12,615.75/17,138.25 = 17,138.25/x
  3. Step 3: Cross multiply
    12,615.75x = 17,138.25 × 17,138.25
  4. Step 4: Simplify right side
    12,615.75x = 293,719,613.06
  5. Step 5: Solve for x
    x = 293,719,613.06/12,615.75
  6. Step 6: Final answer
    x = 23,281.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.