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Finding the Third Proportional to 201,072 and 441,888

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Solution

The third proportional to 201,072 and 441,888 is: 971,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,072 : 441,888 = 441,888 : x
  2. Step 2: Convert to fraction form
    201,072/441,888 = 441,888/x
  3. Step 3: Cross multiply
    201,072x = 441,888 × 441,888
  4. Step 4: Simplify right side
    201,072x = 195,265,004,544
  5. Step 5: Solve for x
    x = 195,265,004,544/201,072
  6. Step 6: Final answer
    x = 971,119.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.