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Finding the Third Proportional to 20,742.75 and 29,328.75

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Solution

The third proportional to 20,742.75 and 29,328.75 is: 41,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.75 : 29,328.75 = 29,328.75 : x
  2. Step 2: Convert to fraction form
    20,742.75/29,328.75 = 29,328.75/x
  3. Step 3: Cross multiply
    20,742.75x = 29,328.75 × 29,328.75
  4. Step 4: Simplify right side
    20,742.75x = 860,175,576.56
  5. Step 5: Solve for x
    x = 860,175,576.56/20,742.75
  6. Step 6: Final answer
    x = 41,468.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.