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Finding the Third Proportional to 283,799 and 620,883

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Solution

The third proportional to 283,799 and 620,883 is: 1,358,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,799 : 620,883 = 620,883 : x
  2. Step 2: Convert to fraction form
    283,799/620,883 = 620,883/x
  3. Step 3: Cross multiply
    283,799x = 620,883 × 620,883
  4. Step 4: Simplify right side
    283,799x = 385,495,699,689
  5. Step 5: Solve for x
    x = 385,495,699,689/283,799
  6. Step 6: Final answer
    x = 1,358,340.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.