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Finding the Third Proportional to 757.69 and 1,662.19

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Solution

The third proportional to 757.69 and 1,662.19 is: 3,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.69 : 1,662.19 = 1,662.19 : x
  2. Step 2: Convert to fraction form
    757.69/1,662.19 = 1,662.19/x
  3. Step 3: Cross multiply
    757.69x = 1,662.19 × 1,662.19
  4. Step 4: Simplify right side
    757.69x = 2,762,867.29
  5. Step 5: Solve for x
    x = 2,762,867.29/757.69
  6. Step 6: Final answer
    x = 3,646.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.