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Finding the Third Proportional to 20,787.56 and 32,001.56

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Solution

The third proportional to 20,787.56 and 32,001.56 is: 49,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.56 : 32,001.56 = 32,001.56 : x
  2. Step 2: Convert to fraction form
    20,787.56/32,001.56 = 32,001.56/x
  3. Step 3: Cross multiply
    20,787.56x = 32,001.56 × 32,001.56
  4. Step 4: Simplify right side
    20,787.56x = 1,024,100,002.44
  5. Step 5: Solve for x
    x = 1,024,100,002.44/20,787.56
  6. Step 6: Final answer
    x = 49,265.04

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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.