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Finding the Third Proportional to 397,726 and 858,476

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Solution

The third proportional to 397,726 and 858,476 is: 1,852,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,726 : 858,476 = 858,476 : x
  2. Step 2: Convert to fraction form
    397,726/858,476 = 858,476/x
  3. Step 3: Cross multiply
    397,726x = 858,476 × 858,476
  4. Step 4: Simplify right side
    397,726x = 736,981,042,576
  5. Step 5: Solve for x
    x = 736,981,042,576/397,726
  6. Step 6: Final answer
    x = 1,852,986.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.