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Finding the Third Proportional to 290,296 and 426,904

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Solution

The third proportional to 290,296 and 426,904 is: 627,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,296 : 426,904 = 426,904 : x
  2. Step 2: Convert to fraction form
    290,296/426,904 = 426,904/x
  3. Step 3: Cross multiply
    290,296x = 426,904 × 426,904
  4. Step 4: Simplify right side
    290,296x = 182,247,025,216
  5. Step 5: Solve for x
    x = 182,247,025,216/290,296
  6. Step 6: Final answer
    x = 627,797.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.