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Finding the Third Proportional to 163,686 and 255,477

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Solution

The third proportional to 163,686 and 255,477 is: 398,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,686 : 255,477 = 255,477 : x
  2. Step 2: Convert to fraction form
    163,686/255,477 = 255,477/x
  3. Step 3: Cross multiply
    163,686x = 255,477 × 255,477
  4. Step 4: Simplify right side
    163,686x = 65,268,497,529
  5. Step 5: Solve for x
    x = 65,268,497,529/163,686
  6. Step 6: Final answer
    x = 398,742.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.