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Finding the Third Proportional to 245.49 and 349.91

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Solution

The third proportional to 245.49 and 349.91 is: 498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.49 : 349.91 = 349.91 : x
  2. Step 2: Convert to fraction form
    245.49/349.91 = 349.91/x
  3. Step 3: Cross multiply
    245.49x = 349.91 × 349.91
  4. Step 4: Simplify right side
    245.49x = 122,434.04
  5. Step 5: Solve for x
    x = 122,434.04/245.49
  6. Step 6: Final answer
    x = 498.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.