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Finding the Third Proportional to 422,910 and 618,489

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Solution

The third proportional to 422,910 and 618,489 is: 904,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,910 : 618,489 = 618,489 : x
  2. Step 2: Convert to fraction form
    422,910/618,489 = 618,489/x
  3. Step 3: Cross multiply
    422,910x = 618,489 × 618,489
  4. Step 4: Simplify right side
    422,910x = 382,528,643,121
  5. Step 5: Solve for x
    x = 382,528,643,121/422,910
  6. Step 6: Final answer
    x = 904,515.48

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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.