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Finding the Third Proportional to 153,867 and 347,241

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Solution

The third proportional to 153,867 and 347,241 is: 783,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,867 : 347,241 = 347,241 : x
  2. Step 2: Convert to fraction form
    153,867/347,241 = 347,241/x
  3. Step 3: Cross multiply
    153,867x = 347,241 × 347,241
  4. Step 4: Simplify right side
    153,867x = 120,576,312,081
  5. Step 5: Solve for x
    x = 120,576,312,081/153,867
  6. Step 6: Final answer
    x = 783,639.85

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.