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Finding the Third Proportional to 153,920 and 231,326

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Solution

The third proportional to 153,920 and 231,326 is: 347,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,920 : 231,326 = 231,326 : x
  2. Step 2: Convert to fraction form
    153,920/231,326 = 231,326/x
  3. Step 3: Cross multiply
    153,920x = 231,326 × 231,326
  4. Step 4: Simplify right side
    153,920x = 53,511,718,276
  5. Step 5: Solve for x
    x = 53,511,718,276/153,920
  6. Step 6: Final answer
    x = 347,659.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.