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Finding the Third Proportional to 603,656 and 816,908

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Solution

The third proportional to 603,656 and 816,908 is: 1,105,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,656 : 816,908 = 816,908 : x
  2. Step 2: Convert to fraction form
    603,656/816,908 = 816,908/x
  3. Step 3: Cross multiply
    603,656x = 816,908 × 816,908
  4. Step 4: Simplify right side
    603,656x = 667,338,680,464
  5. Step 5: Solve for x
    x = 667,338,680,464/603,656
  6. Step 6: Final answer
    x = 1,105,494.98

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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.