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Finding the Third Proportional to 134.65 and 290.79

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Solution

The third proportional to 134.65 and 290.79 is: 627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.65 : 290.79 = 290.79 : x
  2. Step 2: Convert to fraction form
    134.65/290.79 = 290.79/x
  3. Step 3: Cross multiply
    134.65x = 290.79 × 290.79
  4. Step 4: Simplify right side
    134.65x = 84,558.28
  5. Step 5: Solve for x
    x = 84,558.28/134.65
  6. Step 6: Final answer
    x = 627.99

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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.