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Finding the Third Proportional to 283,620 and 439,107

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Solution

The third proportional to 283,620 and 439,107 is: 679,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,620 : 439,107 = 439,107 : x
  2. Step 2: Convert to fraction form
    283,620/439,107 = 439,107/x
  3. Step 3: Cross multiply
    283,620x = 439,107 × 439,107
  4. Step 4: Simplify right side
    283,620x = 192,814,957,449
  5. Step 5: Solve for x
    x = 192,814,957,449/283,620
  6. Step 6: Final answer
    x = 679,835.55

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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.