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Finding the Third Proportional to 7,138.13 and 8,208.84

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Solution

The third proportional to 7,138.13 and 8,208.84 is: 9,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.13 : 8,208.84 = 8,208.84 : x
  2. Step 2: Convert to fraction form
    7,138.13/8,208.84 = 8,208.84/x
  3. Step 3: Cross multiply
    7,138.13x = 8,208.84 × 8,208.84
  4. Step 4: Simplify right side
    7,138.13x = 67,385,115.71
  5. Step 5: Solve for x
    x = 67,385,115.71/7,138.13
  6. Step 6: Final answer
    x = 9,440.17

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.