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Finding the Third Proportional to 603,658 and 816,911

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Solution

The third proportional to 603,658 and 816,911 is: 1,105,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,658 : 816,911 = 816,911 : x
  2. Step 2: Convert to fraction form
    603,658/816,911 = 816,911/x
  3. Step 3: Cross multiply
    603,658x = 816,911 × 816,911
  4. Step 4: Simplify right side
    603,658x = 667,343,581,921
  5. Step 5: Solve for x
    x = 667,343,581,921/603,658
  6. Step 6: Final answer
    x = 1,105,499.44

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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.