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Finding the Third Proportional to 245.98 and 343.89

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Solution

The third proportional to 245.98 and 343.89 is: 480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.98 : 343.89 = 343.89 : x
  2. Step 2: Convert to fraction form
    245.98/343.89 = 343.89/x
  3. Step 3: Cross multiply
    245.98x = 343.89 × 343.89
  4. Step 4: Simplify right side
    245.98x = 118,258.08
  5. Step 5: Solve for x
    x = 118,258.08/245.98
  6. Step 6: Final answer
    x = 480.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.