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Finding the Third Proportional to 270.63 and 384.54

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Solution

The third proportional to 270.63 and 384.54 is: 546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.63 : 384.54 = 384.54 : x
  2. Step 2: Convert to fraction form
    270.63/384.54 = 384.54/x
  3. Step 3: Cross multiply
    270.63x = 384.54 × 384.54
  4. Step 4: Simplify right side
    270.63x = 147,870.29
  5. Step 5: Solve for x
    x = 147,870.29/270.63
  6. Step 6: Final answer
    x = 546.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.