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Finding the Third Proportional to 283,914 and 620,955

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Solution

The third proportional to 283,914 and 620,955 is: 1,358,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,914 : 620,955 = 620,955 : x
  2. Step 2: Convert to fraction form
    283,914/620,955 = 620,955/x
  3. Step 3: Cross multiply
    283,914x = 620,955 × 620,955
  4. Step 4: Simplify right side
    283,914x = 385,585,112,025
  5. Step 5: Solve for x
    x = 385,585,112,025/283,914
  6. Step 6: Final answer
    x = 1,358,105.31

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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.