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Finding the Third Proportional to 128,204 and 280,537

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Solution

The third proportional to 128,204 and 280,537 is: 613,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,204 : 280,537 = 280,537 : x
  2. Step 2: Convert to fraction form
    128,204/280,537 = 280,537/x
  3. Step 3: Cross multiply
    128,204x = 280,537 × 280,537
  4. Step 4: Simplify right side
    128,204x = 78,701,008,369
  5. Step 5: Solve for x
    x = 78,701,008,369/128,204
  6. Step 6: Final answer
    x = 613,873.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.