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Finding the Third Proportional to 282,409 and 395,006

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Solution

The third proportional to 282,409 and 395,006 is: 552,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,409 : 395,006 = 395,006 : x
  2. Step 2: Convert to fraction form
    282,409/395,006 = 395,006/x
  3. Step 3: Cross multiply
    282,409x = 395,006 × 395,006
  4. Step 4: Simplify right side
    282,409x = 156,029,740,036
  5. Step 5: Solve for x
    x = 156,029,740,036/282,409
  6. Step 6: Final answer
    x = 552,495.64

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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.