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Finding the Third Proportional to 196.07 and 310.18

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Solution

The third proportional to 196.07 and 310.18 is: 490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 310.18 = 310.18 : x
  2. Step 2: Convert to fraction form
    196.07/310.18 = 310.18/x
  3. Step 3: Cross multiply
    196.07x = 310.18 × 310.18
  4. Step 4: Simplify right side
    196.07x = 96,213.86
  5. Step 5: Solve for x
    x = 96,213.86/196.07
  6. Step 6: Final answer
    x = 490.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.