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Finding the Third Proportional to 2,072.67 and 2,946.80

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Solution

The third proportional to 2,072.67 and 2,946.80 is: 4,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.67 : 2,946.80 = 2,946.80 : x
  2. Step 2: Convert to fraction form
    2,072.67/2,946.80 = 2,946.80/x
  3. Step 3: Cross multiply
    2,072.67x = 2,946.80 × 2,946.80
  4. Step 4: Simplify right side
    2,072.67x = 8,683,611.82
  5. Step 5: Solve for x
    x = 8,683,611.82/2,072.67
  6. Step 6: Final answer
    x = 4,189.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.