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Finding the Third Proportional to 431.25 and 942.38

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Solution

The third proportional to 431.25 and 942.38 is: 2,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.25 : 942.38 = 942.38 : x
  2. Step 2: Convert to fraction form
    431.25/942.38 = 942.38/x
  3. Step 3: Cross multiply
    431.25x = 942.38 × 942.38
  4. Step 4: Simplify right side
    431.25x = 888,070.64
  5. Step 5: Solve for x
    x = 888,070.64/431.25
  6. Step 6: Final answer
    x = 2,059.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.