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Finding the Third Proportional to 9,102.50 and 13,718

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Solution

The third proportional to 9,102.50 and 13,718 is: 20,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.50 : 13,718 = 13,718 : x
  2. Step 2: Convert to fraction form
    9,102.50/13,718 = 13,718/x
  3. Step 3: Cross multiply
    9,102.50x = 13,718 × 13,718
  4. Step 4: Simplify right side
    9,102.50x = 188,183,524
  5. Step 5: Solve for x
    x = 188,183,524/9,102.50
  6. Step 6: Final answer
    x = 20,673.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.