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Finding the Third Proportional to 6,981 and 7,557

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Solution

The third proportional to 6,981 and 7,557 is: 8,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981 : 7,557 = 7,557 : x
  2. Step 2: Convert to fraction form
    6,981/7,557 = 7,557/x
  3. Step 3: Cross multiply
    6,981x = 7,557 × 7,557
  4. Step 4: Simplify right side
    6,981x = 57,108,249
  5. Step 5: Solve for x
    x = 57,108,249/6,981
  6. Step 6: Final answer
    x = 8,180.53

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.