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Finding the Third Proportional to 283,304 and 618,880

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Solution

The third proportional to 283,304 and 618,880 is: 1,351,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,304 : 618,880 = 618,880 : x
  2. Step 2: Convert to fraction form
    283,304/618,880 = 618,880/x
  3. Step 3: Cross multiply
    283,304x = 618,880 × 618,880
  4. Step 4: Simplify right side
    283,304x = 383,012,454,400
  5. Step 5: Solve for x
    x = 383,012,454,400/283,304
  6. Step 6: Final answer
    x = 1,351,948.63

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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.