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Finding the Third Proportional to 281,290.50 and 421,967.25

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Solution

The third proportional to 281,290.50 and 421,967.25 is: 632,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,290.50 : 421,967.25 = 421,967.25 : x
  2. Step 2: Convert to fraction form
    281,290.50/421,967.25 = 421,967.25/x
  3. Step 3: Cross multiply
    281,290.50x = 421,967.25 × 421,967.25
  4. Step 4: Simplify right side
    281,290.50x = 178,056,360,072.56
  5. Step 5: Solve for x
    x = 178,056,360,072.56/281,290.50
  6. Step 6: Final answer
    x = 632,998.13

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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.