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Finding the Third Proportional to 6,042.73 and 8,020.90

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Solution

The third proportional to 6,042.73 and 8,020.90 is: 10,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.73 : 8,020.90 = 8,020.90 : x
  2. Step 2: Convert to fraction form
    6,042.73/8,020.90 = 8,020.90/x
  3. Step 3: Cross multiply
    6,042.73x = 8,020.90 × 8,020.90
  4. Step 4: Simplify right side
    6,042.73x = 64,334,811.74
  5. Step 5: Solve for x
    x = 64,334,811.74/6,042.73
  6. Step 6: Final answer
    x = 10,646.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.