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Finding the Third Proportional to 435,351 and 672,728

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Solution

The third proportional to 435,351 and 672,728 is: 1,039,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,351 : 672,728 = 672,728 : x
  2. Step 2: Convert to fraction form
    435,351/672,728 = 672,728/x
  3. Step 3: Cross multiply
    435,351x = 672,728 × 672,728
  4. Step 4: Simplify right side
    435,351x = 452,562,961,984
  5. Step 5: Solve for x
    x = 452,562,961,984/435,351
  6. Step 6: Final answer
    x = 1,039,535.83

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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.