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Finding the Third Proportional to 195,021 and 309,447

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Solution

The third proportional to 195,021 and 309,447 is: 491,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,021 : 309,447 = 309,447 : x
  2. Step 2: Convert to fraction form
    195,021/309,447 = 309,447/x
  3. Step 3: Cross multiply
    195,021x = 309,447 × 309,447
  4. Step 4: Simplify right side
    195,021x = 95,757,445,809
  5. Step 5: Solve for x
    x = 95,757,445,809/195,021
  6. Step 6: Final answer
    x = 491,010.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.