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Finding the Third Proportional to 446,474 and 690,447

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Solution

The third proportional to 446,474 and 690,447 is: 1,067,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,474 : 690,447 = 690,447 : x
  2. Step 2: Convert to fraction form
    446,474/690,447 = 690,447/x
  3. Step 3: Cross multiply
    446,474x = 690,447 × 690,447
  4. Step 4: Simplify right side
    446,474x = 476,717,059,809
  5. Step 5: Solve for x
    x = 476,717,059,809/446,474
  6. Step 6: Final answer
    x = 1,067,737.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.