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Finding the Third Proportional to 245.85 and 342.05

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Solution

The third proportional to 245.85 and 342.05 is: 475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.85 : 342.05 = 342.05 : x
  2. Step 2: Convert to fraction form
    245.85/342.05 = 342.05/x
  3. Step 3: Cross multiply
    245.85x = 342.05 × 342.05
  4. Step 4: Simplify right side
    245.85x = 116,996.03
  5. Step 5: Solve for x
    x = 116,996.03/245.85
  6. Step 6: Final answer
    x = 475.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.