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Finding the Third Proportional to 120,695 and 180,232

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Solution

The third proportional to 120,695 and 180,232 is: 269,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,695 : 180,232 = 180,232 : x
  2. Step 2: Convert to fraction form
    120,695/180,232 = 180,232/x
  3. Step 3: Cross multiply
    120,695x = 180,232 × 180,232
  4. Step 4: Simplify right side
    120,695x = 32,483,573,824
  5. Step 5: Solve for x
    x = 32,483,573,824/120,695
  6. Step 6: Final answer
    x = 269,137.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.