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Finding the Third Proportional to 228.22 and 370.81

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Solution

The third proportional to 228.22 and 370.81 is: 602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.22 : 370.81 = 370.81 : x
  2. Step 2: Convert to fraction form
    228.22/370.81 = 370.81/x
  3. Step 3: Cross multiply
    228.22x = 370.81 × 370.81
  4. Step 4: Simplify right side
    228.22x = 137,501.91
  5. Step 5: Solve for x
    x = 137,501.91/228.22
  6. Step 6: Final answer
    x = 602.50

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.