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Finding the Third Proportional to 255,856 and 401,344

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Solution

The third proportional to 255,856 and 401,344 is: 629,561.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,856 : 401,344 = 401,344 : x
  2. Step 2: Convert to fraction form
    255,856/401,344 = 401,344/x
  3. Step 3: Cross multiply
    255,856x = 401,344 × 401,344
  4. Step 4: Simplify right side
    255,856x = 161,077,006,336
  5. Step 5: Solve for x
    x = 161,077,006,336/255,856
  6. Step 6: Final answer
    x = 629,561.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.