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Finding the Third Proportional to 260,072 and 408,079

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Solution

The third proportional to 260,072 and 408,079 is: 640,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,072 : 408,079 = 408,079 : x
  2. Step 2: Convert to fraction form
    260,072/408,079 = 408,079/x
  3. Step 3: Cross multiply
    260,072x = 408,079 × 408,079
  4. Step 4: Simplify right side
    260,072x = 166,528,470,241
  5. Step 5: Solve for x
    x = 166,528,470,241/260,072
  6. Step 6: Final answer
    x = 640,316.80

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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.