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Finding the Third Proportional to 12,200.56 and 16,572.75

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Solution

The third proportional to 12,200.56 and 16,572.75 is: 22,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.56 : 16,572.75 = 16,572.75 : x
  2. Step 2: Convert to fraction form
    12,200.56/16,572.75 = 16,572.75/x
  3. Step 3: Cross multiply
    12,200.56x = 16,572.75 × 16,572.75
  4. Step 4: Simplify right side
    12,200.56x = 274,656,042.56
  5. Step 5: Solve for x
    x = 274,656,042.56/12,200.56
  6. Step 6: Final answer
    x = 22,511.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.