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Finding the Third Proportional to 280,326 and 423,834

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Solution

The third proportional to 280,326 and 423,834 is: 640,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,326 : 423,834 = 423,834 : x
  2. Step 2: Convert to fraction form
    280,326/423,834 = 423,834/x
  3. Step 3: Cross multiply
    280,326x = 423,834 × 423,834
  4. Step 4: Simplify right side
    280,326x = 179,635,259,556
  5. Step 5: Solve for x
    x = 179,635,259,556/280,326
  6. Step 6: Final answer
    x = 640,808.41

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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.