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Finding the Third Proportional to 172,986 and 376,247

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Solution

The third proportional to 172,986 and 376,247 is: 818,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,986 : 376,247 = 376,247 : x
  2. Step 2: Convert to fraction form
    172,986/376,247 = 376,247/x
  3. Step 3: Cross multiply
    172,986x = 376,247 × 376,247
  4. Step 4: Simplify right side
    172,986x = 141,561,805,009
  5. Step 5: Solve for x
    x = 141,561,805,009/172,986
  6. Step 6: Final answer
    x = 818,342.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.