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Finding the Third Proportional to 180,936 and 275,148

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Solution

The third proportional to 180,936 and 275,148 is: 418,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,936 : 275,148 = 275,148 : x
  2. Step 2: Convert to fraction form
    180,936/275,148 = 275,148/x
  3. Step 3: Cross multiply
    180,936x = 275,148 × 275,148
  4. Step 4: Simplify right side
    180,936x = 75,706,421,904
  5. Step 5: Solve for x
    x = 75,706,421,904/180,936
  6. Step 6: Final answer
    x = 418,415.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.