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Finding the Third Proportional to 19,221.68 and 39,394.83

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Solution

The third proportional to 19,221.68 and 39,394.83 is: 80,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,221.68 : 39,394.83 = 39,394.83 : x
  2. Step 2: Convert to fraction form
    19,221.68/39,394.83 = 39,394.83/x
  3. Step 3: Cross multiply
    19,221.68x = 39,394.83 × 39,394.83
  4. Step 4: Simplify right side
    19,221.68x = 1,551,952,829.24
  5. Step 5: Solve for x
    x = 1,551,952,829.24/19,221.68
  6. Step 6: Final answer
    x = 80,739.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.