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Finding the Third Proportional to 260.50 and 407.88

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Solution

The third proportional to 260.50 and 407.88 is: 638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.50 : 407.88 = 407.88 : x
  2. Step 2: Convert to fraction form
    260.50/407.88 = 407.88/x
  3. Step 3: Cross multiply
    260.50x = 407.88 × 407.88
  4. Step 4: Simplify right side
    260.50x = 166,362.02
  5. Step 5: Solve for x
    x = 166,362.02/260.50
  6. Step 6: Final answer
    x = 638.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.