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Finding the Third Proportional to 3,260.50 and 6,989

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Solution

The third proportional to 3,260.50 and 6,989 is: 14,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.50 : 6,989 = 6,989 : x
  2. Step 2: Convert to fraction form
    3,260.50/6,989 = 6,989/x
  3. Step 3: Cross multiply
    3,260.50x = 6,989 × 6,989
  4. Step 4: Simplify right side
    3,260.50x = 48,846,121
  5. Step 5: Solve for x
    x = 48,846,121/3,260.50
  6. Step 6: Final answer
    x = 14,981.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.