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Finding the Third Proportional to 248,430 and 351,189

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Solution

The third proportional to 248,430 and 351,189 is: 496,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,430 : 351,189 = 351,189 : x
  2. Step 2: Convert to fraction form
    248,430/351,189 = 351,189/x
  3. Step 3: Cross multiply
    248,430x = 351,189 × 351,189
  4. Step 4: Simplify right side
    248,430x = 123,333,713,721
  5. Step 5: Solve for x
    x = 123,333,713,721/248,430
  6. Step 6: Final answer
    x = 496,452.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.