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Finding the Third Proportional to 1,072 and 1,946

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Solution

The third proportional to 1,072 and 1,946 is: 3,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072 : 1,946 = 1,946 : x
  2. Step 2: Convert to fraction form
    1,072/1,946 = 1,946/x
  3. Step 3: Cross multiply
    1,072x = 1,946 × 1,946
  4. Step 4: Simplify right side
    1,072x = 3,786,916
  5. Step 5: Solve for x
    x = 3,786,916/1,072
  6. Step 6: Final answer
    x = 3,532.57

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.