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Finding the Third Proportional to 290.75 and 632.88

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Solution

The third proportional to 290.75 and 632.88 is: 1,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.75 : 632.88 = 632.88 : x
  2. Step 2: Convert to fraction form
    290.75/632.88 = 632.88/x
  3. Step 3: Cross multiply
    290.75x = 632.88 × 632.88
  4. Step 4: Simplify right side
    290.75x = 400,530.77
  5. Step 5: Solve for x
    x = 400,530.77/290.75
  6. Step 6: Final answer
    x = 1,377.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.