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Finding the Third Proportional to 258,923 and 401,826

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Solution

The third proportional to 258,923 and 401,826 is: 623,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,923 : 401,826 = 401,826 : x
  2. Step 2: Convert to fraction form
    258,923/401,826 = 401,826/x
  3. Step 3: Cross multiply
    258,923x = 401,826 × 401,826
  4. Step 4: Simplify right side
    258,923x = 161,464,134,276
  5. Step 5: Solve for x
    x = 161,464,134,276/258,923
  6. Step 6: Final answer
    x = 623,599.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.