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Finding the Third Proportional to 8,020.27 and 10,643.91

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Solution

The third proportional to 8,020.27 and 10,643.91 is: 14,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.27 : 10,643.91 = 10,643.91 : x
  2. Step 2: Convert to fraction form
    8,020.27/10,643.91 = 10,643.91/x
  3. Step 3: Cross multiply
    8,020.27x = 10,643.91 × 10,643.91
  4. Step 4: Simplify right side
    8,020.27x = 113,292,740.26
  5. Step 5: Solve for x
    x = 113,292,740.26/8,020.27
  6. Step 6: Final answer
    x = 14,125.81

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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.