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Finding the Third Proportional to 20,690.44 and 31,422.94

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Solution

The third proportional to 20,690.44 and 31,422.94 is: 47,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.44 : 31,422.94 = 31,422.94 : x
  2. Step 2: Convert to fraction form
    20,690.44/31,422.94 = 31,422.94/x
  3. Step 3: Cross multiply
    20,690.44x = 31,422.94 × 31,422.94
  4. Step 4: Simplify right side
    20,690.44x = 987,401,001.13
  5. Step 5: Solve for x
    x = 987,401,001.13/20,690.44
  6. Step 6: Final answer
    x = 47,722.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.