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Finding the Third Proportional to 281,945 and 634,865

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Solution

The third proportional to 281,945 and 634,865 is: 1,429,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,945 : 634,865 = 634,865 : x
  2. Step 2: Convert to fraction form
    281,945/634,865 = 634,865/x
  3. Step 3: Cross multiply
    281,945x = 634,865 × 634,865
  4. Step 4: Simplify right side
    281,945x = 403,053,568,225
  5. Step 5: Solve for x
    x = 403,053,568,225/281,945
  6. Step 6: Final answer
    x = 1,429,546.78

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.