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Finding the Third Proportional to 268.47 and 627.28

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Solution

The third proportional to 268.47 and 627.28 is: 1,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.47 : 627.28 = 627.28 : x
  2. Step 2: Convert to fraction form
    268.47/627.28 = 627.28/x
  3. Step 3: Cross multiply
    268.47x = 627.28 × 627.28
  4. Step 4: Simplify right side
    268.47x = 393,474.42
  5. Step 5: Solve for x
    x = 393,474.42/268.47
  6. Step 6: Final answer
    x = 1,465.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.