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Finding the Third Proportional to 20,487.73 and 31,641.26

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Solution

The third proportional to 20,487.73 and 31,641.26 is: 48,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,487.73 : 31,641.26 = 31,641.26 : x
  2. Step 2: Convert to fraction form
    20,487.73/31,641.26 = 31,641.26/x
  3. Step 3: Cross multiply
    20,487.73x = 31,641.26 × 31,641.26
  4. Step 4: Simplify right side
    20,487.73x = 1,001,169,195.96
  5. Step 5: Solve for x
    x = 1,001,169,195.96/20,487.73
  6. Step 6: Final answer
    x = 48,866.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.