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Finding the Third Proportional to 136.31 and 290.63

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Solution

The third proportional to 136.31 and 290.63 is: 619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.31 : 290.63 = 290.63 : x
  2. Step 2: Convert to fraction form
    136.31/290.63 = 290.63/x
  3. Step 3: Cross multiply
    136.31x = 290.63 × 290.63
  4. Step 4: Simplify right side
    136.31x = 84,462.89
  5. Step 5: Solve for x
    x = 84,462.89/136.31
  6. Step 6: Final answer
    x = 619.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.