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Finding the Third Proportional to 290.14 and 680.59

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Solution

The third proportional to 290.14 and 680.59 is: 1,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.14 : 680.59 = 680.59 : x
  2. Step 2: Convert to fraction form
    290.14/680.59 = 680.59/x
  3. Step 3: Cross multiply
    290.14x = 680.59 × 680.59
  4. Step 4: Simplify right side
    290.14x = 463,202.54
  5. Step 5: Solve for x
    x = 463,202.54/290.14
  6. Step 6: Final answer
    x = 1,596.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.