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Finding the Third Proportional to 260 and 388.63

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Solution

The third proportional to 260 and 388.63 is: 580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260 : 388.63 = 388.63 : x
  2. Step 2: Convert to fraction form
    260/388.63 = 388.63/x
  3. Step 3: Cross multiply
    260x = 388.63 × 388.63
  4. Step 4: Simplify right side
    260x = 151,029.39
  5. Step 5: Solve for x
    x = 151,029.39/260
  6. Step 6: Final answer
    x = 580.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.