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Finding the Third Proportional to 283,872 and 618,144

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Solution

The third proportional to 283,872 and 618,144 is: 1,346,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,872 : 618,144 = 618,144 : x
  2. Step 2: Convert to fraction form
    283,872/618,144 = 618,144/x
  3. Step 3: Cross multiply
    283,872x = 618,144 × 618,144
  4. Step 4: Simplify right side
    283,872x = 382,102,004,736
  5. Step 5: Solve for x
    x = 382,102,004,736/283,872
  6. Step 6: Final answer
    x = 1,346,036.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.