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Finding the Third Proportional to 3,046.50 and 6,643.88

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Solution

The third proportional to 3,046.50 and 6,643.88 is: 14,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.50 : 6,643.88 = 6,643.88 : x
  2. Step 2: Convert to fraction form
    3,046.50/6,643.88 = 6,643.88/x
  3. Step 3: Cross multiply
    3,046.50x = 6,643.88 × 6,643.88
  4. Step 4: Simplify right side
    3,046.50x = 44,141,075.02
  5. Step 5: Solve for x
    x = 44,141,075.02/3,046.50
  6. Step 6: Final answer
    x = 14,489.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.