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Finding the Third Proportional to 185,519 and 280,000

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Solution

The third proportional to 185,519 and 280,000 is: 422,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,519 : 280,000 = 280,000 : x
  2. Step 2: Convert to fraction form
    185,519/280,000 = 280,000/x
  3. Step 3: Cross multiply
    185,519x = 280,000 × 280,000
  4. Step 4: Simplify right side
    185,519x = 78,400,000,000
  5. Step 5: Solve for x
    x = 78,400,000,000/185,519
  6. Step 6: Final answer
    x = 422,598.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.