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Finding the Third Proportional to 1,664.88 and 3,617.75

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Solution

The third proportional to 1,664.88 and 3,617.75 is: 7,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.88 : 3,617.75 = 3,617.75 : x
  2. Step 2: Convert to fraction form
    1,664.88/3,617.75 = 3,617.75/x
  3. Step 3: Cross multiply
    1,664.88x = 3,617.75 × 3,617.75
  4. Step 4: Simplify right side
    1,664.88x = 13,088,115.06
  5. Step 5: Solve for x
    x = 13,088,115.06/1,664.88
  6. Step 6: Final answer
    x = 7,861.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.