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Finding the Third Proportional to 408,278 and 533,682

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Solution

The third proportional to 408,278 and 533,682 is: 697,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,278 : 533,682 = 533,682 : x
  2. Step 2: Convert to fraction form
    408,278/533,682 = 533,682/x
  3. Step 3: Cross multiply
    408,278x = 533,682 × 533,682
  4. Step 4: Simplify right side
    408,278x = 284,816,477,124
  5. Step 5: Solve for x
    x = 284,816,477,124/408,278
  6. Step 6: Final answer
    x = 697,604.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.