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Finding the Third Proportional to 461.75 and 940.75

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Solution

The third proportional to 461.75 and 940.75 is: 1,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 940.75 = 940.75 : x
  2. Step 2: Convert to fraction form
    461.75/940.75 = 940.75/x
  3. Step 3: Cross multiply
    461.75x = 940.75 × 940.75
  4. Step 4: Simplify right side
    461.75x = 885,010.56
  5. Step 5: Solve for x
    x = 885,010.56/461.75
  6. Step 6: Final answer
    x = 1,916.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.