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Finding the Third Proportional to 120,021 and 193,332

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Solution

The third proportional to 120,021 and 193,332 is: 311,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,021 : 193,332 = 193,332 : x
  2. Step 2: Convert to fraction form
    120,021/193,332 = 193,332/x
  3. Step 3: Cross multiply
    120,021x = 193,332 × 193,332
  4. Step 4: Simplify right side
    120,021x = 37,377,262,224
  5. Step 5: Solve for x
    x = 37,377,262,224/120,021
  6. Step 6: Final answer
    x = 311,422.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.