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Finding the Third Proportional to 133,556 and 199,910

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Solution

The third proportional to 133,556 and 199,910 is: 299,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,556 : 199,910 = 199,910 : x
  2. Step 2: Convert to fraction form
    133,556/199,910 = 199,910/x
  3. Step 3: Cross multiply
    133,556x = 199,910 × 199,910
  4. Step 4: Simplify right side
    133,556x = 39,964,008,100
  5. Step 5: Solve for x
    x = 39,964,008,100/133,556
  6. Step 6: Final answer
    x = 299,230.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.