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Finding the Third Proportional to 255,560 and 400,923

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Solution

The third proportional to 255,560 and 400,923 is: 628,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,560 : 400,923 = 400,923 : x
  2. Step 2: Convert to fraction form
    255,560/400,923 = 400,923/x
  3. Step 3: Cross multiply
    255,560x = 400,923 × 400,923
  4. Step 4: Simplify right side
    255,560x = 160,739,251,929
  5. Step 5: Solve for x
    x = 160,739,251,929/255,560
  6. Step 6: Final answer
    x = 628,968.74

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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.