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Finding the Third Proportional to 260,084 and 408,097

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Solution

The third proportional to 260,084 and 408,097 is: 640,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084 : 408,097 = 408,097 : x
  2. Step 2: Convert to fraction form
    260,084/408,097 = 408,097/x
  3. Step 3: Cross multiply
    260,084x = 408,097 × 408,097
  4. Step 4: Simplify right side
    260,084x = 166,543,161,409
  5. Step 5: Solve for x
    x = 166,543,161,409/260,084
  6. Step 6: Final answer
    x = 640,343.74

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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.