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Finding the Third Proportional to 84,128 and 185,326

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Solution

The third proportional to 84,128 and 185,326 is: 408,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,128 : 185,326 = 185,326 : x
  2. Step 2: Convert to fraction form
    84,128/185,326 = 185,326/x
  3. Step 3: Cross multiply
    84,128x = 185,326 × 185,326
  4. Step 4: Simplify right side
    84,128x = 34,345,726,276
  5. Step 5: Solve for x
    x = 34,345,726,276/84,128
  6. Step 6: Final answer
    x = 408,255.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.