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Finding the Third Proportional to 284,268 and 618,648

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Solution

The third proportional to 284,268 and 618,648 is: 1,346,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,268 : 618,648 = 618,648 : x
  2. Step 2: Convert to fraction form
    284,268/618,648 = 618,648/x
  3. Step 3: Cross multiply
    284,268x = 618,648 × 618,648
  4. Step 4: Simplify right side
    284,268x = 382,725,347,904
  5. Step 5: Solve for x
    x = 382,725,347,904/284,268
  6. Step 6: Final answer
    x = 1,346,353.96

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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.