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Finding the Third Proportional to 255,710 and 401,148

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Solution

The third proportional to 255,710 and 401,148 is: 629,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,710 : 401,148 = 401,148 : x
  2. Step 2: Convert to fraction form
    255,710/401,148 = 401,148/x
  3. Step 3: Cross multiply
    255,710x = 401,148 × 401,148
  4. Step 4: Simplify right side
    255,710x = 160,919,717,904
  5. Step 5: Solve for x
    x = 160,919,717,904/255,710
  6. Step 6: Final answer
    x = 629,305.53

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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.