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Finding the Third Proportional to 281,288.25 and 421,962.75

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Solution

The third proportional to 281,288.25 and 421,962.75 is: 632,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,288.25 : 421,962.75 = 421,962.75 : x
  2. Step 2: Convert to fraction form
    281,288.25/421,962.75 = 421,962.75/x
  3. Step 3: Cross multiply
    281,288.25x = 421,962.75 × 421,962.75
  4. Step 4: Simplify right side
    281,288.25x = 178,052,562,387.56
  5. Step 5: Solve for x
    x = 178,052,562,387.56/281,288.25
  6. Step 6: Final answer
    x = 632,989.69

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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.