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Finding the Third Proportional to 135,406 and 209,556

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Solution

The third proportional to 135,406 and 209,556 is: 324,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,406 : 209,556 = 209,556 : x
  2. Step 2: Convert to fraction form
    135,406/209,556 = 209,556/x
  3. Step 3: Cross multiply
    135,406x = 209,556 × 209,556
  4. Step 4: Simplify right side
    135,406x = 43,913,717,136
  5. Step 5: Solve for x
    x = 43,913,717,136/135,406
  6. Step 6: Final answer
    x = 324,311.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.