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Finding the Third Proportional to 282,567 and 396,018

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Solution

The third proportional to 282,567 and 396,018 is: 555,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,567 : 396,018 = 396,018 : x
  2. Step 2: Convert to fraction form
    282,567/396,018 = 396,018/x
  3. Step 3: Cross multiply
    282,567x = 396,018 × 396,018
  4. Step 4: Simplify right side
    282,567x = 156,830,256,324
  5. Step 5: Solve for x
    x = 156,830,256,324/282,567
  6. Step 6: Final answer
    x = 555,019.72

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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.