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Finding the Third Proportional to 260,072 and 408,078

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Solution

The third proportional to 260,072 and 408,078 is: 640,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,072 : 408,078 = 408,078 : x
  2. Step 2: Convert to fraction form
    260,072/408,078 = 408,078/x
  3. Step 3: Cross multiply
    260,072x = 408,078 × 408,078
  4. Step 4: Simplify right side
    260,072x = 166,527,654,084
  5. Step 5: Solve for x
    x = 166,527,654,084/260,072
  6. Step 6: Final answer
    x = 640,313.66

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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.