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Finding the Third Proportional to 284,272 and 618,655

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Solution

The third proportional to 284,272 and 618,655 is: 1,346,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,272 : 618,655 = 618,655 : x
  2. Step 2: Convert to fraction form
    284,272/618,655 = 618,655/x
  3. Step 3: Cross multiply
    284,272x = 618,655 × 618,655
  4. Step 4: Simplify right side
    284,272x = 382,734,009,025
  5. Step 5: Solve for x
    x = 382,734,009,025/284,272
  6. Step 6: Final answer
    x = 1,346,365.48

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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.