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Finding the Third Proportional to 19,909.13 and 29,487.38

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Solution

The third proportional to 19,909.13 and 29,487.38 is: 43,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.13 : 29,487.38 = 29,487.38 : x
  2. Step 2: Convert to fraction form
    19,909.13/29,487.38 = 29,487.38/x
  3. Step 3: Cross multiply
    19,909.13x = 29,487.38 × 29,487.38
  4. Step 4: Simplify right side
    19,909.13x = 869,505,284.39
  5. Step 5: Solve for x
    x = 869,505,284.39/19,909.13
  6. Step 6: Final answer
    x = 43,673.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.