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Finding the Third Proportional to 245.81 and 498.19

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Solution

The third proportional to 245.81 and 498.19 is: 1,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.81 : 498.19 = 498.19 : x
  2. Step 2: Convert to fraction form
    245.81/498.19 = 498.19/x
  3. Step 3: Cross multiply
    245.81x = 498.19 × 498.19
  4. Step 4: Simplify right side
    245.81x = 248,190.79
  5. Step 5: Solve for x
    x = 248,190.79/245.81
  6. Step 6: Final answer
    x = 1,009.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.