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Finding the Third Proportional to 248,480 and 331,055

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Solution

The third proportional to 248,480 and 331,055 is: 441,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,480 : 331,055 = 331,055 : x
  2. Step 2: Convert to fraction form
    248,480/331,055 = 331,055/x
  3. Step 3: Cross multiply
    248,480x = 331,055 × 331,055
  4. Step 4: Simplify right side
    248,480x = 109,597,413,025
  5. Step 5: Solve for x
    x = 109,597,413,025/248,480
  6. Step 6: Final answer
    x = 441,071.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.