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Finding the Third Proportional to 20,030.25 and 32,555.44

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Solution

The third proportional to 20,030.25 and 32,555.44 is: 52,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.25 : 32,555.44 = 32,555.44 : x
  2. Step 2: Convert to fraction form
    20,030.25/32,555.44 = 32,555.44/x
  3. Step 3: Cross multiply
    20,030.25x = 32,555.44 × 32,555.44
  4. Step 4: Simplify right side
    20,030.25x = 1,059,856,510.82
  5. Step 5: Solve for x
    x = 1,059,856,510.82/20,030.25
  6. Step 6: Final answer
    x = 52,912.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.