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Finding the Third Proportional to 283,798 and 620,867

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Solution

The third proportional to 283,798 and 620,867 is: 1,358,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,798 : 620,867 = 620,867 : x
  2. Step 2: Convert to fraction form
    283,798/620,867 = 620,867/x
  3. Step 3: Cross multiply
    283,798x = 620,867 × 620,867
  4. Step 4: Simplify right side
    283,798x = 385,475,831,689
  5. Step 5: Solve for x
    x = 385,475,831,689/283,798
  6. Step 6: Final answer
    x = 1,358,275.36

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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.