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Finding the Third Proportional to 3,051.84 and 4,611.09

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Solution

The third proportional to 3,051.84 and 4,611.09 is: 6,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.84 : 4,611.09 = 4,611.09 : x
  2. Step 2: Convert to fraction form
    3,051.84/4,611.09 = 4,611.09/x
  3. Step 3: Cross multiply
    3,051.84x = 4,611.09 × 4,611.09
  4. Step 4: Simplify right side
    3,051.84x = 21,262,185.57
  5. Step 5: Solve for x
    x = 21,262,185.57/3,051.84
  6. Step 6: Final answer
    x = 6,967.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.