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Finding the Third Proportional to 260,180 and 380,326

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Solution

The third proportional to 260,180 and 380,326 is: 555,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,180 : 380,326 = 380,326 : x
  2. Step 2: Convert to fraction form
    260,180/380,326 = 380,326/x
  3. Step 3: Cross multiply
    260,180x = 380,326 × 380,326
  4. Step 4: Simplify right side
    260,180x = 144,647,866,276
  5. Step 5: Solve for x
    x = 144,647,866,276/260,180
  6. Step 6: Final answer
    x = 555,953.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.