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Finding the Third Proportional to 8,487.28 and 11,089.41

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Solution

The third proportional to 8,487.28 and 11,089.41 is: 14,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.28 : 11,089.41 = 11,089.41 : x
  2. Step 2: Convert to fraction form
    8,487.28/11,089.41 = 11,089.41/x
  3. Step 3: Cross multiply
    8,487.28x = 11,089.41 × 11,089.41
  4. Step 4: Simplify right side
    8,487.28x = 122,974,930.98
  5. Step 5: Solve for x
    x = 122,974,930.98/8,487.28
  6. Step 6: Final answer
    x = 14,489.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.