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Finding the Third Proportional to 7,135 and 10,981

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Solution

The third proportional to 7,135 and 10,981 is: 16,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135 : 10,981 = 10,981 : x
  2. Step 2: Convert to fraction form
    7,135/10,981 = 10,981/x
  3. Step 3: Cross multiply
    7,135x = 10,981 × 10,981
  4. Step 4: Simplify right side
    7,135x = 120,582,361
  5. Step 5: Solve for x
    x = 120,582,361/7,135
  6. Step 6: Final answer
    x = 16,900.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.