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Finding the Third Proportional to 286,067 and 400,129

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Solution

The third proportional to 286,067 and 400,129 is: 559,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,067 : 400,129 = 400,129 : x
  2. Step 2: Convert to fraction form
    286,067/400,129 = 400,129/x
  3. Step 3: Cross multiply
    286,067x = 400,129 × 400,129
  4. Step 4: Simplify right side
    286,067x = 160,103,216,641
  5. Step 5: Solve for x
    x = 160,103,216,641/286,067
  6. Step 6: Final answer
    x = 559,670.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.