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Finding the Third Proportional to 538.38 and 1,140.34

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Solution

The third proportional to 538.38 and 1,140.34 is: 2,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.38 : 1,140.34 = 1,140.34 : x
  2. Step 2: Convert to fraction form
    538.38/1,140.34 = 1,140.34/x
  3. Step 3: Cross multiply
    538.38x = 1,140.34 × 1,140.34
  4. Step 4: Simplify right side
    538.38x = 1,300,383.87
  5. Step 5: Solve for x
    x = 1,300,383.87/538.38
  6. Step 6: Final answer
    x = 2,415.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.