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Finding the Third Proportional to 10,909.69 and 16,681.73

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Solution

The third proportional to 10,909.69 and 16,681.73 is: 25,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 16,681.73 = 16,681.73 : x
  2. Step 2: Convert to fraction form
    10,909.69/16,681.73 = 16,681.73/x
  3. Step 3: Cross multiply
    10,909.69x = 16,681.73 × 16,681.73
  4. Step 4: Simplify right side
    10,909.69x = 278,280,066.27
  5. Step 5: Solve for x
    x = 278,280,066.27/10,909.69
  6. Step 6: Final answer
    x = 25,507.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.