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Finding the Third Proportional to 128,021 and 280,533

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Solution

The third proportional to 128,021 and 280,533 is: 614,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,021 : 280,533 = 280,533 : x
  2. Step 2: Convert to fraction form
    128,021/280,533 = 280,533/x
  3. Step 3: Cross multiply
    128,021x = 280,533 × 280,533
  4. Step 4: Simplify right side
    128,021x = 78,698,764,089
  5. Step 5: Solve for x
    x = 78,698,764,089/128,021
  6. Step 6: Final answer
    x = 614,733.24

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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.