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Finding the Third Proportional to 431.34 and 939.38

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Solution

The third proportional to 431.34 and 939.38 is: 2,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 939.38 = 939.38 : x
  2. Step 2: Convert to fraction form
    431.34/939.38 = 939.38/x
  3. Step 3: Cross multiply
    431.34x = 939.38 × 939.38
  4. Step 4: Simplify right side
    431.34x = 882,425.39
  5. Step 5: Solve for x
    x = 882,425.39/431.34
  6. Step 6: Final answer
    x = 2,045.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.