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Finding the Third Proportional to 223,872 and 310,286

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Solution

The third proportional to 223,872 and 310,286 is: 430,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,872 : 310,286 = 310,286 : x
  2. Step 2: Convert to fraction form
    223,872/310,286 = 310,286/x
  3. Step 3: Cross multiply
    223,872x = 310,286 × 310,286
  4. Step 4: Simplify right side
    223,872x = 96,277,401,796
  5. Step 5: Solve for x
    x = 96,277,401,796/223,872
  6. Step 6: Final answer
    x = 430,055.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.