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Finding the Third Proportional to 9,013.50 and 13,988.25

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Solution

The third proportional to 9,013.50 and 13,988.25 is: 21,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.50 : 13,988.25 = 13,988.25 : x
  2. Step 2: Convert to fraction form
    9,013.50/13,988.25 = 13,988.25/x
  3. Step 3: Cross multiply
    9,013.50x = 13,988.25 × 13,988.25
  4. Step 4: Simplify right side
    9,013.50x = 195,671,138.06
  5. Step 5: Solve for x
    x = 195,671,138.06/9,013.50
  6. Step 6: Final answer
    x = 21,708.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.