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Finding the Third Proportional to 179,682 and 281,865

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Solution

The third proportional to 179,682 and 281,865 is: 442,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,682 : 281,865 = 281,865 : x
  2. Step 2: Convert to fraction form
    179,682/281,865 = 281,865/x
  3. Step 3: Cross multiply
    179,682x = 281,865 × 281,865
  4. Step 4: Simplify right side
    179,682x = 79,447,878,225
  5. Step 5: Solve for x
    x = 79,447,878,225/179,682
  6. Step 6: Final answer
    x = 442,158.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.