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Finding the Third Proportional to 282,638 and 396,117

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Solution

The third proportional to 282,638 and 396,117 is: 555,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,638 : 396,117 = 396,117 : x
  2. Step 2: Convert to fraction form
    282,638/396,117 = 396,117/x
  3. Step 3: Cross multiply
    282,638x = 396,117 × 396,117
  4. Step 4: Simplify right side
    282,638x = 156,908,677,689
  5. Step 5: Solve for x
    x = 156,908,677,689/282,638
  6. Step 6: Final answer
    x = 555,157.76

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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.