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Finding the Third Proportional to 3,677.91 and 7,643.11

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Solution

The third proportional to 3,677.91 and 7,643.11 is: 15,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.91 : 7,643.11 = 7,643.11 : x
  2. Step 2: Convert to fraction form
    3,677.91/7,643.11 = 7,643.11/x
  3. Step 3: Cross multiply
    3,677.91x = 7,643.11 × 7,643.11
  4. Step 4: Simplify right side
    3,677.91x = 58,417,120.92
  5. Step 5: Solve for x
    x = 58,417,120.92/3,677.91
  6. Step 6: Final answer
    x = 15,883.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.