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Finding the Third Proportional to 199,724 and 280,925

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Solution

The third proportional to 199,724 and 280,925 is: 395,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,724 : 280,925 = 280,925 : x
  2. Step 2: Convert to fraction form
    199,724/280,925 = 280,925/x
  3. Step 3: Cross multiply
    199,724x = 280,925 × 280,925
  4. Step 4: Simplify right side
    199,724x = 78,918,855,625
  5. Step 5: Solve for x
    x = 78,918,855,625/199,724
  6. Step 6: Final answer
    x = 395,139.57

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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.