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Finding the Third Proportional to 262,005 and 400,644

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Solution

The third proportional to 262,005 and 400,644 is: 612,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,005 : 400,644 = 400,644 : x
  2. Step 2: Convert to fraction form
    262,005/400,644 = 400,644/x
  3. Step 3: Cross multiply
    262,005x = 400,644 × 400,644
  4. Step 4: Simplify right side
    262,005x = 160,515,614,736
  5. Step 5: Solve for x
    x = 160,515,614,736/262,005
  6. Step 6: Final answer
    x = 612,643.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.