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Finding the Third Proportional to 622.69 and 1,407.09

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Solution

The third proportional to 622.69 and 1,407.09 is: 3,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.69 : 1,407.09 = 1,407.09 : x
  2. Step 2: Convert to fraction form
    622.69/1,407.09 = 1,407.09/x
  3. Step 3: Cross multiply
    622.69x = 1,407.09 × 1,407.09
  4. Step 4: Simplify right side
    622.69x = 1,979,912.82
  5. Step 5: Solve for x
    x = 1,979,912.82/622.69
  6. Step 6: Final answer
    x = 3,179.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.