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Finding the Third Proportional to 422,646 and 618,796

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Solution

The third proportional to 422,646 and 618,796 is: 905,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,646 : 618,796 = 618,796 : x
  2. Step 2: Convert to fraction form
    422,646/618,796 = 618,796/x
  3. Step 3: Cross multiply
    422,646x = 618,796 × 618,796
  4. Step 4: Simplify right side
    422,646x = 382,908,489,616
  5. Step 5: Solve for x
    x = 382,908,489,616/422,646
  6. Step 6: Final answer
    x = 905,979.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.