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Finding the Third Proportional to 163,845 and 254,505

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Solution

The third proportional to 163,845 and 254,505 is: 395,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,845 : 254,505 = 254,505 : x
  2. Step 2: Convert to fraction form
    163,845/254,505 = 254,505/x
  3. Step 3: Cross multiply
    163,845x = 254,505 × 254,505
  4. Step 4: Simplify right side
    163,845x = 64,772,795,025
  5. Step 5: Solve for x
    x = 64,772,795,025/163,845
  6. Step 6: Final answer
    x = 395,329.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.