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Finding the Third Proportional to 12,958.31 and 20,304.84

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Solution

The third proportional to 12,958.31 and 20,304.84 is: 31,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.31 : 20,304.84 = 20,304.84 : x
  2. Step 2: Convert to fraction form
    12,958.31/20,304.84 = 20,304.84/x
  3. Step 3: Cross multiply
    12,958.31x = 20,304.84 × 20,304.84
  4. Step 4: Simplify right side
    12,958.31x = 412,286,679.71
  5. Step 5: Solve for x
    x = 412,286,679.71/12,958.31
  6. Step 6: Final answer
    x = 31,816.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.