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Finding the Third Proportional to 248,980 and 379,230

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Solution

The third proportional to 248,980 and 379,230 is: 577,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,980 : 379,230 = 379,230 : x
  2. Step 2: Convert to fraction form
    248,980/379,230 = 379,230/x
  3. Step 3: Cross multiply
    248,980x = 379,230 × 379,230
  4. Step 4: Simplify right side
    248,980x = 143,815,392,900
  5. Step 5: Solve for x
    x = 143,815,392,900/248,980
  6. Step 6: Final answer
    x = 577,618.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.