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Finding the Third Proportional to 296,178 and 422,112

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Solution

The third proportional to 296,178 and 422,112 is: 601,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,178 : 422,112 = 422,112 : x
  2. Step 2: Convert to fraction form
    296,178/422,112 = 422,112/x
  3. Step 3: Cross multiply
    296,178x = 422,112 × 422,112
  4. Step 4: Simplify right side
    296,178x = 178,178,540,544
  5. Step 5: Solve for x
    x = 178,178,540,544/296,178
  6. Step 6: Final answer
    x = 601,592.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.