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Finding the Third Proportional to 422,904 and 618,480

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Solution

The third proportional to 422,904 and 618,480 is: 904,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,904 : 618,480 = 618,480 : x
  2. Step 2: Convert to fraction form
    422,904/618,480 = 618,480/x
  3. Step 3: Cross multiply
    422,904x = 618,480 × 618,480
  4. Step 4: Simplify right side
    422,904x = 382,517,510,400
  5. Step 5: Solve for x
    x = 382,517,510,400/422,904
  6. Step 6: Final answer
    x = 904,501.99

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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.