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Finding the Third Proportional to 290.67 and 627.89

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Solution

The third proportional to 290.67 and 627.89 is: 1,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.67 : 627.89 = 627.89 : x
  2. Step 2: Convert to fraction form
    290.67/627.89 = 627.89/x
  3. Step 3: Cross multiply
    290.67x = 627.89 × 627.89
  4. Step 4: Simplify right side
    290.67x = 394,246.64
  5. Step 5: Solve for x
    x = 394,246.64/290.67
  6. Step 6: Final answer
    x = 1,356.33

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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.