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Finding the Third Proportional to 286,422 and 420,859

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Solution

The third proportional to 286,422 and 420,859 is: 618,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,422 : 420,859 = 420,859 : x
  2. Step 2: Convert to fraction form
    286,422/420,859 = 420,859/x
  3. Step 3: Cross multiply
    286,422x = 420,859 × 420,859
  4. Step 4: Simplify right side
    286,422x = 177,122,297,881
  5. Step 5: Solve for x
    x = 177,122,297,881/286,422
  6. Step 6: Final answer
    x = 618,396.28

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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.