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Finding the Third Proportional to 3,133.97 and 7,424.86

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Solution

The third proportional to 3,133.97 and 7,424.86 is: 17,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.97 : 7,424.86 = 7,424.86 : x
  2. Step 2: Convert to fraction form
    3,133.97/7,424.86 = 7,424.86/x
  3. Step 3: Cross multiply
    3,133.97x = 7,424.86 × 7,424.86
  4. Step 4: Simplify right side
    3,133.97x = 55,128,536.74
  5. Step 5: Solve for x
    x = 55,128,536.74/3,133.97
  6. Step 6: Final answer
    x = 17,590.65

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.