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Finding the Third Proportional to 13,988.50 and 31,085

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Solution

The third proportional to 13,988.50 and 31,085 is: 69,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.50 : 31,085 = 31,085 : x
  2. Step 2: Convert to fraction form
    13,988.50/31,085 = 31,085/x
  3. Step 3: Cross multiply
    13,988.50x = 31,085 × 31,085
  4. Step 4: Simplify right side
    13,988.50x = 966,277,225
  5. Step 5: Solve for x
    x = 966,277,225/13,988.50
  6. Step 6: Final answer
    x = 69,076.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.