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Finding the Third Proportional to 286,686 and 400,977

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Solution

The third proportional to 286,686 and 400,977 is: 560,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,686 : 400,977 = 400,977 : x
  2. Step 2: Convert to fraction form
    286,686/400,977 = 400,977/x
  3. Step 3: Cross multiply
    286,686x = 400,977 × 400,977
  4. Step 4: Simplify right side
    286,686x = 160,782,554,529
  5. Step 5: Solve for x
    x = 160,782,554,529/286,686
  6. Step 6: Final answer
    x = 560,831.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.