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Finding the Third Proportional to 285,168 and 618,904

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Solution

The third proportional to 285,168 and 618,904 is: 1,343,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,168 : 618,904 = 618,904 : x
  2. Step 2: Convert to fraction form
    285,168/618,904 = 618,904/x
  3. Step 3: Cross multiply
    285,168x = 618,904 × 618,904
  4. Step 4: Simplify right side
    285,168x = 383,042,161,216
  5. Step 5: Solve for x
    x = 383,042,161,216/285,168
  6. Step 6: Final answer
    x = 1,343,215.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.