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Finding the Third Proportional to 228.34 and 345.41

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Solution

The third proportional to 228.34 and 345.41 is: 522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.34 : 345.41 = 345.41 : x
  2. Step 2: Convert to fraction form
    228.34/345.41 = 345.41/x
  3. Step 3: Cross multiply
    228.34x = 345.41 × 345.41
  4. Step 4: Simplify right side
    228.34x = 119,308.18
  5. Step 5: Solve for x
    x = 119,308.18/228.34
  6. Step 6: Final answer
    x = 522.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.