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Finding the Third Proportional to 281,424 and 435,176

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Solution

The third proportional to 281,424 and 435,176 is: 672,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,424 : 435,176 = 435,176 : x
  2. Step 2: Convert to fraction form
    281,424/435,176 = 435,176/x
  3. Step 3: Cross multiply
    281,424x = 435,176 × 435,176
  4. Step 4: Simplify right side
    281,424x = 189,378,150,976
  5. Step 5: Solve for x
    x = 189,378,150,976/281,424
  6. Step 6: Final answer
    x = 672,928.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.