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Finding the Third Proportional to 283,874 and 618,148

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Solution

The third proportional to 283,874 and 618,148 is: 1,346,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,874 : 618,148 = 618,148 : x
  2. Step 2: Convert to fraction form
    283,874/618,148 = 618,148/x
  3. Step 3: Cross multiply
    283,874x = 618,148 × 618,148
  4. Step 4: Simplify right side
    283,874x = 382,106,949,904
  5. Step 5: Solve for x
    x = 382,106,949,904/283,874
  6. Step 6: Final answer
    x = 1,346,044.20

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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.