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Finding the Third Proportional to 260,080 and 408,091

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Solution

The third proportional to 260,080 and 408,091 is: 640,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,080 : 408,091 = 408,091 : x
  2. Step 2: Convert to fraction form
    260,080/408,091 = 408,091/x
  3. Step 3: Cross multiply
    260,080x = 408,091 × 408,091
  4. Step 4: Simplify right side
    260,080x = 166,538,264,281
  5. Step 5: Solve for x
    x = 166,538,264,281/260,080
  6. Step 6: Final answer
    x = 640,334.76

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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.