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Finding the Third Proportional to 9,912.09 and 13,455.28

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Solution

The third proportional to 9,912.09 and 13,455.28 is: 18,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.09 : 13,455.28 = 13,455.28 : x
  2. Step 2: Convert to fraction form
    9,912.09/13,455.28 = 13,455.28/x
  3. Step 3: Cross multiply
    9,912.09x = 13,455.28 × 13,455.28
  4. Step 4: Simplify right side
    9,912.09x = 181,044,593.52
  5. Step 5: Solve for x
    x = 181,044,593.52/9,912.09
  6. Step 6: Final answer
    x = 18,265.02

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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.