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Finding the Third Proportional to 120,328 and 190,697

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Solution

The third proportional to 120,328 and 190,697 is: 302,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,328 : 190,697 = 190,697 : x
  2. Step 2: Convert to fraction form
    120,328/190,697 = 190,697/x
  3. Step 3: Cross multiply
    120,328x = 190,697 × 190,697
  4. Step 4: Simplify right side
    120,328x = 36,365,345,809
  5. Step 5: Solve for x
    x = 36,365,345,809/120,328
  6. Step 6: Final answer
    x = 302,218.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.