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Finding the Third Proportional to 3,200.77 and 4,727.11

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Solution

The third proportional to 3,200.77 and 4,727.11 is: 6,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.77 : 4,727.11 = 4,727.11 : x
  2. Step 2: Convert to fraction form
    3,200.77/4,727.11 = 4,727.11/x
  3. Step 3: Cross multiply
    3,200.77x = 4,727.11 × 4,727.11
  4. Step 4: Simplify right side
    3,200.77x = 22,345,563.04
  5. Step 5: Solve for x
    x = 22,345,563.04/3,200.77
  6. Step 6: Final answer
    x = 6,981.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.