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Finding the Third Proportional to 13,102.07 and 20,431.58

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Solution

The third proportional to 13,102.07 and 20,431.58 is: 31,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.07 : 20,431.58 = 20,431.58 : x
  2. Step 2: Convert to fraction form
    13,102.07/20,431.58 = 20,431.58/x
  3. Step 3: Cross multiply
    13,102.07x = 20,431.58 × 20,431.58
  4. Step 4: Simplify right side
    13,102.07x = 417,449,364.73
  5. Step 5: Solve for x
    x = 417,449,364.73/13,102.07
  6. Step 6: Final answer
    x = 31,861.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.