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Finding the Third Proportional to 942.78 and 2,082.09

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Solution

The third proportional to 942.78 and 2,082.09 is: 4,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.78 : 2,082.09 = 2,082.09 : x
  2. Step 2: Convert to fraction form
    942.78/2,082.09 = 2,082.09/x
  3. Step 3: Cross multiply
    942.78x = 2,082.09 × 2,082.09
  4. Step 4: Simplify right side
    942.78x = 4,335,114.38
  5. Step 5: Solve for x
    x = 4,335,114.38/942.78
  6. Step 6: Final answer
    x = 4,598.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.