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Finding the Third Proportional to 255,814 and 357,827

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Solution

The third proportional to 255,814 and 357,827 is: 500,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,814 : 357,827 = 357,827 : x
  2. Step 2: Convert to fraction form
    255,814/357,827 = 357,827/x
  3. Step 3: Cross multiply
    255,814x = 357,827 × 357,827
  4. Step 4: Simplify right side
    255,814x = 128,040,161,929
  5. Step 5: Solve for x
    x = 128,040,161,929/255,814
  6. Step 6: Final answer
    x = 500,520.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.