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Finding the Third Proportional to 289,896 and 422,247

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Solution

The third proportional to 289,896 and 422,247 is: 615,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,896 : 422,247 = 422,247 : x
  2. Step 2: Convert to fraction form
    289,896/422,247 = 422,247/x
  3. Step 3: Cross multiply
    289,896x = 422,247 × 422,247
  4. Step 4: Simplify right side
    289,896x = 178,292,529,009
  5. Step 5: Solve for x
    x = 178,292,529,009/289,896
  6. Step 6: Final answer
    x = 615,022.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.