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Finding the Third Proportional to 8,028.28 and 12,785.77

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Solution

The third proportional to 8,028.28 and 12,785.77 is: 20,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.28 : 12,785.77 = 12,785.77 : x
  2. Step 2: Convert to fraction form
    8,028.28/12,785.77 = 12,785.77/x
  3. Step 3: Cross multiply
    8,028.28x = 12,785.77 × 12,785.77
  4. Step 4: Simplify right side
    8,028.28x = 163,475,802.62
  5. Step 5: Solve for x
    x = 163,475,802.62/8,028.28
  6. Step 6: Final answer
    x = 20,362.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.