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Finding the Third Proportional to 201.94 and 314.63

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Solution

The third proportional to 201.94 and 314.63 is: 490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.94 : 314.63 = 314.63 : x
  2. Step 2: Convert to fraction form
    201.94/314.63 = 314.63/x
  3. Step 3: Cross multiply
    201.94x = 314.63 × 314.63
  4. Step 4: Simplify right side
    201.94x = 98,988.89
  5. Step 5: Solve for x
    x = 98,988.89/201.94
  6. Step 6: Final answer
    x = 490.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.