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Finding the Third Proportional to 6,989 and 9,331

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Solution

The third proportional to 6,989 and 9,331 is: 12,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989 : 9,331 = 9,331 : x
  2. Step 2: Convert to fraction form
    6,989/9,331 = 9,331/x
  3. Step 3: Cross multiply
    6,989x = 9,331 × 9,331
  4. Step 4: Simplify right side
    6,989x = 87,067,561
  5. Step 5: Solve for x
    x = 87,067,561/6,989
  6. Step 6: Final answer
    x = 12,457.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.