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Finding the Third Proportional to 422,908 and 618,486

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Solution

The third proportional to 422,908 and 618,486 is: 904,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,908 : 618,486 = 618,486 : x
  2. Step 2: Convert to fraction form
    422,908/618,486 = 618,486/x
  3. Step 3: Cross multiply
    422,908x = 618,486 × 618,486
  4. Step 4: Simplify right side
    422,908x = 382,524,932,196
  5. Step 5: Solve for x
    x = 382,524,932,196/422,908
  6. Step 6: Final answer
    x = 904,510.99

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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.