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Finding the Third Proportional to 290.58 and 632.42

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Solution

The third proportional to 290.58 and 632.42 is: 1,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.58 : 632.42 = 632.42 : x
  2. Step 2: Convert to fraction form
    290.58/632.42 = 632.42/x
  3. Step 3: Cross multiply
    290.58x = 632.42 × 632.42
  4. Step 4: Simplify right side
    290.58x = 399,951.25
  5. Step 5: Solve for x
    x = 399,951.25/290.58
  6. Step 6: Final answer
    x = 1,376.39

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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.