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Finding the Third Proportional to 12,991.50 and 20,246.63

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Solution

The third proportional to 12,991.50 and 20,246.63 is: 31,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.50 : 20,246.63 = 20,246.63 : x
  2. Step 2: Convert to fraction form
    12,991.50/20,246.63 = 20,246.63/x
  3. Step 3: Cross multiply
    12,991.50x = 20,246.63 × 20,246.63
  4. Step 4: Simplify right side
    12,991.50x = 409,925,823.89
  5. Step 5: Solve for x
    x = 409,925,823.89/12,991.50
  6. Step 6: Final answer
    x = 31,553.39

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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.