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Finding the Third Proportional to 228.91 and 540.16

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Solution

The third proportional to 228.91 and 540.16 is: 1,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.91 : 540.16 = 540.16 : x
  2. Step 2: Convert to fraction form
    228.91/540.16 = 540.16/x
  3. Step 3: Cross multiply
    228.91x = 540.16 × 540.16
  4. Step 4: Simplify right side
    228.91x = 291,768.77
  5. Step 5: Solve for x
    x = 291,768.77/228.91
  6. Step 6: Final answer
    x = 1,274.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.