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Finding the Third Proportional to 178,274 and 282,171

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Solution

The third proportional to 178,274 and 282,171 is: 446,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,274 : 282,171 = 282,171 : x
  2. Step 2: Convert to fraction form
    178,274/282,171 = 282,171/x
  3. Step 3: Cross multiply
    178,274x = 282,171 × 282,171
  4. Step 4: Simplify right side
    178,274x = 79,620,473,241
  5. Step 5: Solve for x
    x = 79,620,473,241/178,274
  6. Step 6: Final answer
    x = 446,618.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.