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Finding the Third Proportional to 283,306 and 618,884

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Solution

The third proportional to 283,306 and 618,884 is: 1,351,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,306 : 618,884 = 618,884 : x
  2. Step 2: Convert to fraction form
    283,306/618,884 = 618,884/x
  3. Step 3: Cross multiply
    283,306x = 618,884 × 618,884
  4. Step 4: Simplify right side
    283,306x = 383,017,405,456
  5. Step 5: Solve for x
    x = 383,017,405,456/283,306
  6. Step 6: Final answer
    x = 1,351,956.56

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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.