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Finding the Third Proportional to 12,881.50 and 20,491.13

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Solution

The third proportional to 12,881.50 and 20,491.13 is: 32,596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.50 : 20,491.13 = 20,491.13 : x
  2. Step 2: Convert to fraction form
    12,881.50/20,491.13 = 20,491.13/x
  3. Step 3: Cross multiply
    12,881.50x = 20,491.13 × 20,491.13
  4. Step 4: Simplify right side
    12,881.50x = 419,886,203.77
  5. Step 5: Solve for x
    x = 419,886,203.77/12,881.50
  6. Step 6: Final answer
    x = 32,596.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.