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Finding the Third Proportional to 283,622 and 439,108

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Solution

The third proportional to 283,622 and 439,108 is: 679,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,622 : 439,108 = 439,108 : x
  2. Step 2: Convert to fraction form
    283,622/439,108 = 439,108/x
  3. Step 3: Cross multiply
    283,622x = 439,108 × 439,108
  4. Step 4: Simplify right side
    283,622x = 192,815,835,664
  5. Step 5: Solve for x
    x = 192,815,835,664/283,622
  6. Step 6: Final answer
    x = 679,833.85

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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.