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Finding the Third Proportional to 260,084 and 408,095

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Solution

The third proportional to 260,084 and 408,095 is: 640,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084 : 408,095 = 408,095 : x
  2. Step 2: Convert to fraction form
    260,084/408,095 = 408,095/x
  3. Step 3: Cross multiply
    260,084x = 408,095 × 408,095
  4. Step 4: Simplify right side
    260,084x = 166,541,529,025
  5. Step 5: Solve for x
    x = 166,541,529,025/260,084
  6. Step 6: Final answer
    x = 640,337.46

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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.