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Finding the Third Proportional to 628.89 and 1,361.36

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Solution

The third proportional to 628.89 and 1,361.36 is: 2,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.89 : 1,361.36 = 1,361.36 : x
  2. Step 2: Convert to fraction form
    628.89/1,361.36 = 1,361.36/x
  3. Step 3: Cross multiply
    628.89x = 1,361.36 × 1,361.36
  4. Step 4: Simplify right side
    628.89x = 1,853,294.69
  5. Step 5: Solve for x
    x = 1,853,294.69/628.89
  6. Step 6: Final answer
    x = 2,946.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.