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Finding the Third Proportional to 8,688.20 and 16,453.76

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Solution

The third proportional to 8,688.20 and 16,453.76 is: 31,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,688.20 : 16,453.76 = 16,453.76 : x
  2. Step 2: Convert to fraction form
    8,688.20/16,453.76 = 16,453.76/x
  3. Step 3: Cross multiply
    8,688.20x = 16,453.76 × 16,453.76
  4. Step 4: Simplify right side
    8,688.20x = 270,726,146.15
  5. Step 5: Solve for x
    x = 270,726,146.15/8,688.20
  6. Step 6: Final answer
    x = 31,160.21

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.