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Finding the Third Proportional to 200,374.50 and 280,149

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Solution

The third proportional to 200,374.50 and 280,149 is: 391,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,374.50 : 280,149 = 280,149 : x
  2. Step 2: Convert to fraction form
    200,374.50/280,149 = 280,149/x
  3. Step 3: Cross multiply
    200,374.50x = 280,149 × 280,149
  4. Step 4: Simplify right side
    200,374.50x = 78,483,462,201
  5. Step 5: Solve for x
    x = 78,483,462,201/200,374.50
  6. Step 6: Final answer
    x = 391,683.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.