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Finding the Third Proportional to 281,461 and 420,786.50

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Solution

The third proportional to 281,461 and 420,786.50 is: 629,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,461 : 420,786.50 = 420,786.50 : x
  2. Step 2: Convert to fraction form
    281,461/420,786.50 = 420,786.50/x
  3. Step 3: Cross multiply
    281,461x = 420,786.50 × 420,786.50
  4. Step 4: Simplify right side
    281,461x = 177,061,278,582.25
  5. Step 5: Solve for x
    x = 177,061,278,582.25/281,461
  6. Step 6: Final answer
    x = 629,079.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.