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Finding the Third Proportional to 171,845 and 377,312

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Solution

The third proportional to 171,845 and 377,312 is: 828,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,845 : 377,312 = 377,312 : x
  2. Step 2: Convert to fraction form
    171,845/377,312 = 377,312/x
  3. Step 3: Cross multiply
    171,845x = 377,312 × 377,312
  4. Step 4: Simplify right side
    171,845x = 142,364,345,344
  5. Step 5: Solve for x
    x = 142,364,345,344/171,845
  6. Step 6: Final answer
    x = 828,446.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.