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Finding the Third Proportional to 202,084 and 280,980

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Solution

The third proportional to 202,084 and 280,980 is: 390,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,084 : 280,980 = 280,980 : x
  2. Step 2: Convert to fraction form
    202,084/280,980 = 280,980/x
  3. Step 3: Cross multiply
    202,084x = 280,980 × 280,980
  4. Step 4: Simplify right side
    202,084x = 78,949,760,400
  5. Step 5: Solve for x
    x = 78,949,760,400/202,084
  6. Step 6: Final answer
    x = 390,677.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.