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Finding the Third Proportional to 2,945 and 5,431

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Solution

The third proportional to 2,945 and 5,431 is: 10,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945 : 5,431 = 5,431 : x
  2. Step 2: Convert to fraction form
    2,945/5,431 = 5,431/x
  3. Step 3: Cross multiply
    2,945x = 5,431 × 5,431
  4. Step 4: Simplify right side
    2,945x = 29,495,761
  5. Step 5: Solve for x
    x = 29,495,761/2,945
  6. Step 6: Final answer
    x = 10,015.54

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.