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Finding the Third Proportional to 281,109 and 434,802

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Solution

The third proportional to 281,109 and 434,802 is: 672,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,109 : 434,802 = 434,802 : x
  2. Step 2: Convert to fraction form
    281,109/434,802 = 434,802/x
  3. Step 3: Cross multiply
    281,109x = 434,802 × 434,802
  4. Step 4: Simplify right side
    281,109x = 189,052,779,204
  5. Step 5: Solve for x
    x = 189,052,779,204/281,109
  6. Step 6: Final answer
    x = 672,524.82

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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.