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Finding the Third Proportional to 20,958.75 and 31,153.36

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Solution

The third proportional to 20,958.75 and 31,153.36 is: 46,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958.75 : 31,153.36 = 31,153.36 : x
  2. Step 2: Convert to fraction form
    20,958.75/31,153.36 = 31,153.36/x
  3. Step 3: Cross multiply
    20,958.75x = 31,153.36 × 31,153.36
  4. Step 4: Simplify right side
    20,958.75x = 970,531,800.35
  5. Step 5: Solve for x
    x = 970,531,800.35/20,958.75
  6. Step 6: Final answer
    x = 46,306.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.