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Finding the Third Proportional to 178.45 and 269.58

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Solution

The third proportional to 178.45 and 269.58 is: 407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 269.58 = 269.58 : x
  2. Step 2: Convert to fraction form
    178.45/269.58 = 269.58/x
  3. Step 3: Cross multiply
    178.45x = 269.58 × 269.58
  4. Step 4: Simplify right side
    178.45x = 72,672.37
  5. Step 5: Solve for x
    x = 72,672.37/178.45
  6. Step 6: Final answer
    x = 407.24

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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.