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Finding the Third Proportional to 121,578 and 195,340

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Solution

The third proportional to 121,578 and 195,340 is: 313,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,578 : 195,340 = 195,340 : x
  2. Step 2: Convert to fraction form
    121,578/195,340 = 195,340/x
  3. Step 3: Cross multiply
    121,578x = 195,340 × 195,340
  4. Step 4: Simplify right side
    121,578x = 38,157,715,600
  5. Step 5: Solve for x
    x = 38,157,715,600/121,578
  6. Step 6: Final answer
    x = 313,853.79

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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.