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Finding the Third Proportional to 10,639.20 and 16,996.77

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Solution

The third proportional to 10,639.20 and 16,996.77 is: 27,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.20 : 16,996.77 = 16,996.77 : x
  2. Step 2: Convert to fraction form
    10,639.20/16,996.77 = 16,996.77/x
  3. Step 3: Cross multiply
    10,639.20x = 16,996.77 × 16,996.77
  4. Step 4: Simplify right side
    10,639.20x = 288,890,199.40
  5. Step 5: Solve for x
    x = 288,890,199.40/10,639.20
  6. Step 6: Final answer
    x = 27,153.38

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.