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Finding the Third Proportional to 422,706 and 618,504

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Solution

The third proportional to 422,706 and 618,504 is: 904,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,706 : 618,504 = 618,504 : x
  2. Step 2: Convert to fraction form
    422,706/618,504 = 618,504/x
  3. Step 3: Cross multiply
    422,706x = 618,504 × 618,504
  4. Step 4: Simplify right side
    422,706x = 382,547,198,016
  5. Step 5: Solve for x
    x = 382,547,198,016/422,706
  6. Step 6: Final answer
    x = 904,995.90

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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.