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Finding the Third Proportional to 200,020.50 and 281,319.75

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Solution

The third proportional to 200,020.50 and 281,319.75 is: 395,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,020.50 : 281,319.75 = 281,319.75 : x
  2. Step 2: Convert to fraction form
    200,020.50/281,319.75 = 281,319.75/x
  3. Step 3: Cross multiply
    200,020.50x = 281,319.75 × 281,319.75
  4. Step 4: Simplify right side
    200,020.50x = 79,140,801,740.06
  5. Step 5: Solve for x
    x = 79,140,801,740.06/200,020.50
  6. Step 6: Final answer
    x = 395,663.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.