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Finding the Third Proportional to 281,016 and 430,884

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Solution

The third proportional to 281,016 and 430,884 is: 660,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,016 : 430,884 = 430,884 : x
  2. Step 2: Convert to fraction form
    281,016/430,884 = 430,884/x
  3. Step 3: Cross multiply
    281,016x = 430,884 × 430,884
  4. Step 4: Simplify right side
    281,016x = 185,661,021,456
  5. Step 5: Solve for x
    x = 185,661,021,456/281,016
  6. Step 6: Final answer
    x = 660,677.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.