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Finding the Third Proportional to 124,961 and 199,860

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Solution

The third proportional to 124,961 and 199,860 is: 319,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,961 : 199,860 = 199,860 : x
  2. Step 2: Convert to fraction form
    124,961/199,860 = 199,860/x
  3. Step 3: Cross multiply
    124,961x = 199,860 × 199,860
  4. Step 4: Simplify right side
    124,961x = 39,944,019,600
  5. Step 5: Solve for x
    x = 39,944,019,600/124,961
  6. Step 6: Final answer
    x = 319,651.89

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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.