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Finding the Third Proportional to 274,055 and 430,016

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Solution

The third proportional to 274,055 and 430,016 is: 674,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,055 : 430,016 = 430,016 : x
  2. Step 2: Convert to fraction form
    274,055/430,016 = 430,016/x
  3. Step 3: Cross multiply
    274,055x = 430,016 × 430,016
  4. Step 4: Simplify right side
    274,055x = 184,913,760,256
  5. Step 5: Solve for x
    x = 184,913,760,256/274,055
  6. Step 6: Final answer
    x = 674,732.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.