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Finding the Third Proportional to 763.25 and 1,664.66

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Solution

The third proportional to 763.25 and 1,664.66 is: 3,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.25 : 1,664.66 = 1,664.66 : x
  2. Step 2: Convert to fraction form
    763.25/1,664.66 = 1,664.66/x
  3. Step 3: Cross multiply
    763.25x = 1,664.66 × 1,664.66
  4. Step 4: Simplify right side
    763.25x = 2,771,080.43
  5. Step 5: Solve for x
    x = 2,771,080.43/763.25
  6. Step 6: Final answer
    x = 3,630.63

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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.