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Finding the Third Proportional to 628.25 and 949.25

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Solution

The third proportional to 628.25 and 949.25 is: 1,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.25 : 949.25 = 949.25 : x
  2. Step 2: Convert to fraction form
    628.25/949.25 = 949.25/x
  3. Step 3: Cross multiply
    628.25x = 949.25 × 949.25
  4. Step 4: Simplify right side
    628.25x = 901,075.56
  5. Step 5: Solve for x
    x = 901,075.56/628.25
  6. Step 6: Final answer
    x = 1,434.26

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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.