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Finding the Third Proportional to 628.31 and 946.41

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Solution

The third proportional to 628.31 and 946.41 is: 1,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.31 : 946.41 = 946.41 : x
  2. Step 2: Convert to fraction form
    628.31/946.41 = 946.41/x
  3. Step 3: Cross multiply
    628.31x = 946.41 × 946.41
  4. Step 4: Simplify right side
    628.31x = 895,684.79
  5. Step 5: Solve for x
    x = 895,684.79/628.31
  6. Step 6: Final answer
    x = 1,425.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.