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Finding the Third Proportional to 255,929 and 401,441

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Solution

The third proportional to 255,929 and 401,441 is: 629,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,929 : 401,441 = 401,441 : x
  2. Step 2: Convert to fraction form
    255,929/401,441 = 401,441/x
  3. Step 3: Cross multiply
    255,929x = 401,441 × 401,441
  4. Step 4: Simplify right side
    255,929x = 161,154,876,481
  5. Step 5: Solve for x
    x = 161,154,876,481/255,929
  6. Step 6: Final answer
    x = 629,685.88

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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.