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Finding the Third Proportional to 124,926 and 199,809

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Solution

The third proportional to 124,926 and 199,809 is: 319,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,926 : 199,809 = 199,809 : x
  2. Step 2: Convert to fraction form
    124,926/199,809 = 199,809/x
  3. Step 3: Cross multiply
    124,926x = 199,809 × 199,809
  4. Step 4: Simplify right side
    124,926x = 39,923,636,481
  5. Step 5: Solve for x
    x = 39,923,636,481/124,926
  6. Step 6: Final answer
    x = 319,578.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.