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Finding the Third Proportional to 223,860 and 310,268

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Solution

The third proportional to 223,860 and 310,268 is: 430,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,860 : 310,268 = 310,268 : x
  2. Step 2: Convert to fraction form
    223,860/310,268 = 310,268/x
  3. Step 3: Cross multiply
    223,860x = 310,268 × 310,268
  4. Step 4: Simplify right side
    223,860x = 96,266,231,824
  5. Step 5: Solve for x
    x = 96,266,231,824/223,860
  6. Step 6: Final answer
    x = 430,028.73

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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.