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Finding the Third Proportional to 20,640.19 and 24,376.31

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Solution

The third proportional to 20,640.19 and 24,376.31 is: 28,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.19 : 24,376.31 = 24,376.31 : x
  2. Step 2: Convert to fraction form
    20,640.19/24,376.31 = 24,376.31/x
  3. Step 3: Cross multiply
    20,640.19x = 24,376.31 × 24,376.31
  4. Step 4: Simplify right side
    20,640.19x = 594,204,611.10
  5. Step 5: Solve for x
    x = 594,204,611.10/20,640.19
  6. Step 6: Final answer
    x = 28,788.72

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.