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Finding the Third Proportional to 260.75 and 406.06

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Solution

The third proportional to 260.75 and 406.06 is: 632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.75 : 406.06 = 406.06 : x
  2. Step 2: Convert to fraction form
    260.75/406.06 = 406.06/x
  3. Step 3: Cross multiply
    260.75x = 406.06 × 406.06
  4. Step 4: Simplify right side
    260.75x = 164,886.75
  5. Step 5: Solve for x
    x = 164,886.75/260.75
  6. Step 6: Final answer
    x = 632.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.