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Finding the Third Proportional to 171,878 and 369,145

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Solution

The third proportional to 171,878 and 369,145 is: 792,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,878 : 369,145 = 369,145 : x
  2. Step 2: Convert to fraction form
    171,878/369,145 = 369,145/x
  3. Step 3: Cross multiply
    171,878x = 369,145 × 369,145
  4. Step 4: Simplify right side
    171,878x = 136,268,031,025
  5. Step 5: Solve for x
    x = 136,268,031,025/171,878
  6. Step 6: Final answer
    x = 792,818.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.