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Finding the Third Proportional to 283,939 and 605,780

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Solution

The third proportional to 283,939 and 605,780 is: 1,292,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,939 : 605,780 = 605,780 : x
  2. Step 2: Convert to fraction form
    283,939/605,780 = 605,780/x
  3. Step 3: Cross multiply
    283,939x = 605,780 × 605,780
  4. Step 4: Simplify right side
    283,939x = 366,969,408,400
  5. Step 5: Solve for x
    x = 366,969,408,400/283,939
  6. Step 6: Final answer
    x = 1,292,423.40

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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.