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Finding the Third Proportional to 195,021 and 309,453.75

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Solution

The third proportional to 195,021 and 309,453.75 is: 491,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,021 : 309,453.75 = 309,453.75 : x
  2. Step 2: Convert to fraction form
    195,021/309,453.75 = 309,453.75/x
  3. Step 3: Cross multiply
    195,021x = 309,453.75 × 309,453.75
  4. Step 4: Simplify right side
    195,021x = 95,761,623,389.06
  5. Step 5: Solve for x
    x = 95,761,623,389.06/195,021
  6. Step 6: Final answer
    x = 491,032.37

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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.