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Finding the Third Proportional to 7,990.88 and 12,097.13

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Solution

The third proportional to 7,990.88 and 12,097.13 is: 18,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990.88 : 12,097.13 = 12,097.13 : x
  2. Step 2: Convert to fraction form
    7,990.88/12,097.13 = 12,097.13/x
  3. Step 3: Cross multiply
    7,990.88x = 12,097.13 × 12,097.13
  4. Step 4: Simplify right side
    7,990.88x = 146,340,433.27
  5. Step 5: Solve for x
    x = 146,340,433.27/7,990.88
  6. Step 6: Final answer
    x = 18,313.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.