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Finding the Third Proportional to 282,688 and 396,224

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Solution

The third proportional to 282,688 and 396,224 is: 555,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,688 : 396,224 = 396,224 : x
  2. Step 2: Convert to fraction form
    282,688/396,224 = 396,224/x
  3. Step 3: Cross multiply
    282,688x = 396,224 × 396,224
  4. Step 4: Simplify right side
    282,688x = 156,993,458,176
  5. Step 5: Solve for x
    x = 156,993,458,176/282,688
  6. Step 6: Final answer
    x = 555,359.47

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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.