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Finding the Third Proportional to 13,125.80 and 20,457.56

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Solution

The third proportional to 13,125.80 and 20,457.56 is: 31,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.80 : 20,457.56 = 20,457.56 : x
  2. Step 2: Convert to fraction form
    13,125.80/20,457.56 = 20,457.56/x
  3. Step 3: Cross multiply
    13,125.80x = 20,457.56 × 20,457.56
  4. Step 4: Simplify right side
    13,125.80x = 418,511,863.44
  5. Step 5: Solve for x
    x = 418,511,863.44/13,125.80
  6. Step 6: Final answer
    x = 31,884.68

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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.