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Finding the Third Proportional to 290.25 and 539.63

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Solution

The third proportional to 290.25 and 539.63 is: 1,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.25 : 539.63 = 539.63 : x
  2. Step 2: Convert to fraction form
    290.25/539.63 = 539.63/x
  3. Step 3: Cross multiply
    290.25x = 539.63 × 539.63
  4. Step 4: Simplify right side
    290.25x = 291,195.14
  5. Step 5: Solve for x
    x = 291,195.14/290.25
  6. Step 6: Final answer
    x = 1,003.26

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.