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Finding the Third Proportional to 300,016 and 438,177

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Solution

The third proportional to 300,016 and 438,177 is: 639,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,016 : 438,177 = 438,177 : x
  2. Step 2: Convert to fraction form
    300,016/438,177 = 438,177/x
  3. Step 3: Cross multiply
    300,016x = 438,177 × 438,177
  4. Step 4: Simplify right side
    300,016x = 191,999,083,329
  5. Step 5: Solve for x
    x = 191,999,083,329/300,016
  6. Step 6: Final answer
    x = 639,962.81

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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.