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Finding the Third Proportional to 12,750.75 and 20,765.53

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Solution

The third proportional to 12,750.75 and 20,765.53 is: 33,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.75 : 20,765.53 = 20,765.53 : x
  2. Step 2: Convert to fraction form
    12,750.75/20,765.53 = 20,765.53/x
  3. Step 3: Cross multiply
    12,750.75x = 20,765.53 × 20,765.53
  4. Step 4: Simplify right side
    12,750.75x = 431,207,288.09
  5. Step 5: Solve for x
    x = 431,207,288.09/12,750.75
  6. Step 6: Final answer
    x = 33,818.19

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.