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Finding the Third Proportional to 7,998 and 12,522

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Solution

The third proportional to 7,998 and 12,522 is: 19,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998 : 12,522 = 12,522 : x
  2. Step 2: Convert to fraction form
    7,998/12,522 = 12,522/x
  3. Step 3: Cross multiply
    7,998x = 12,522 × 12,522
  4. Step 4: Simplify right side
    7,998x = 156,800,484
  5. Step 5: Solve for x
    x = 156,800,484/7,998
  6. Step 6: Final answer
    x = 19,604.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.