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Finding the Third Proportional to 263,768 and 389,856

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Solution

The third proportional to 263,768 and 389,856 is: 576,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,768 : 389,856 = 389,856 : x
  2. Step 2: Convert to fraction form
    263,768/389,856 = 389,856/x
  3. Step 3: Cross multiply
    263,768x = 389,856 × 389,856
  4. Step 4: Simplify right side
    263,768x = 151,987,700,736
  5. Step 5: Solve for x
    x = 151,987,700,736/263,768
  6. Step 6: Final answer
    x = 576,217.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.