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Finding the Third Proportional to 628.44 and 1,158.53

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Solution

The third proportional to 628.44 and 1,158.53 is: 2,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.44 : 1,158.53 = 1,158.53 : x
  2. Step 2: Convert to fraction form
    628.44/1,158.53 = 1,158.53/x
  3. Step 3: Cross multiply
    628.44x = 1,158.53 × 1,158.53
  4. Step 4: Simplify right side
    628.44x = 1,342,194.66
  5. Step 5: Solve for x
    x = 1,342,194.66/628.44
  6. Step 6: Final answer
    x = 2,135.76

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.