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Finding the Third Proportional to 603,653 and 816,903

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Solution

The third proportional to 603,653 and 816,903 is: 1,105,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,653 : 816,903 = 816,903 : x
  2. Step 2: Convert to fraction form
    603,653/816,903 = 816,903/x
  3. Step 3: Cross multiply
    603,653x = 816,903 × 816,903
  4. Step 4: Simplify right side
    603,653x = 667,330,511,409
  5. Step 5: Solve for x
    x = 667,330,511,409/603,653
  6. Step 6: Final answer
    x = 1,105,486.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.