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Finding the Third Proportional to 283,566 and 618,644

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Solution

The third proportional to 283,566 and 618,644 is: 1,349,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,566 : 618,644 = 618,644 : x
  2. Step 2: Convert to fraction form
    283,566/618,644 = 618,644/x
  3. Step 3: Cross multiply
    283,566x = 618,644 × 618,644
  4. Step 4: Simplify right side
    283,566x = 382,720,398,736
  5. Step 5: Solve for x
    x = 382,720,398,736/283,566
  6. Step 6: Final answer
    x = 1,349,669.56

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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.