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Finding the Third Proportional to 283,878 and 618,156

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Solution

The third proportional to 283,878 and 618,156 is: 1,346,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,878 : 618,156 = 618,156 : x
  2. Step 2: Convert to fraction form
    283,878/618,156 = 618,156/x
  3. Step 3: Cross multiply
    283,878x = 618,156 × 618,156
  4. Step 4: Simplify right side
    283,878x = 382,116,840,336
  5. Step 5: Solve for x
    x = 382,116,840,336/283,878
  6. Step 6: Final answer
    x = 1,346,060.07

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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.