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Finding the Third Proportional to 163,322 and 256,647

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Solution

The third proportional to 163,322 and 256,647 is: 403,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,322 : 256,647 = 256,647 : x
  2. Step 2: Convert to fraction form
    163,322/256,647 = 256,647/x
  3. Step 3: Cross multiply
    163,322x = 256,647 × 256,647
  4. Step 4: Simplify right side
    163,322x = 65,867,682,609
  5. Step 5: Solve for x
    x = 65,867,682,609/163,322
  6. Step 6: Final answer
    x = 403,299.51

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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.