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Finding the Third Proportional to 383,466 and 816,108

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Solution

The third proportional to 383,466 and 816,108 is: 1,736,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,466 : 816,108 = 816,108 : x
  2. Step 2: Convert to fraction form
    383,466/816,108 = 816,108/x
  3. Step 3: Cross multiply
    383,466x = 816,108 × 816,108
  4. Step 4: Simplify right side
    383,466x = 666,032,267,664
  5. Step 5: Solve for x
    x = 666,032,267,664/383,466
  6. Step 6: Final answer
    x = 1,736,874.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.