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Finding the Third Proportional to 3,491 and 4,989

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Solution

The third proportional to 3,491 and 4,989 is: 7,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491 : 4,989 = 4,989 : x
  2. Step 2: Convert to fraction form
    3,491/4,989 = 4,989/x
  3. Step 3: Cross multiply
    3,491x = 4,989 × 4,989
  4. Step 4: Simplify right side
    3,491x = 24,890,121
  5. Step 5: Solve for x
    x = 24,890,121/3,491
  6. Step 6: Final answer
    x = 7,129.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.