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Finding the Third Proportional to 282,641 and 396,115

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Solution

The third proportional to 282,641 and 396,115 is: 555,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,641 : 396,115 = 396,115 : x
  2. Step 2: Convert to fraction form
    282,641/396,115 = 396,115/x
  3. Step 3: Cross multiply
    282,641x = 396,115 × 396,115
  4. Step 4: Simplify right side
    282,641x = 156,907,093,225
  5. Step 5: Solve for x
    x = 156,907,093,225/282,641
  6. Step 6: Final answer
    x = 555,146.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.