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Finding the Third Proportional to 129,383 and 196,407

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Solution

The third proportional to 129,383 and 196,407 is: 298,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,383 : 196,407 = 196,407 : x
  2. Step 2: Convert to fraction form
    129,383/196,407 = 196,407/x
  3. Step 3: Cross multiply
    129,383x = 196,407 × 196,407
  4. Step 4: Simplify right side
    129,383x = 38,575,709,649
  5. Step 5: Solve for x
    x = 38,575,709,649/129,383
  6. Step 6: Final answer
    x = 298,151.30

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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.