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Finding the Third Proportional to 20,395.50 and 28,722

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Solution

The third proportional to 20,395.50 and 28,722 is: 40,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,395.50 : 28,722 = 28,722 : x
  2. Step 2: Convert to fraction form
    20,395.50/28,722 = 28,722/x
  3. Step 3: Cross multiply
    20,395.50x = 28,722 × 28,722
  4. Step 4: Simplify right side
    20,395.50x = 824,953,284
  5. Step 5: Solve for x
    x = 824,953,284/20,395.50
  6. Step 6: Final answer
    x = 40,447.81

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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.