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Finding the Third Proportional to 133,212 and 278,740

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Solution

The third proportional to 133,212 and 278,740 is: 583,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212 : 278,740 = 278,740 : x
  2. Step 2: Convert to fraction form
    133,212/278,740 = 278,740/x
  3. Step 3: Cross multiply
    133,212x = 278,740 × 278,740
  4. Step 4: Simplify right side
    133,212x = 77,695,987,600
  5. Step 5: Solve for x
    x = 77,695,987,600/133,212
  6. Step 6: Final answer
    x = 583,250.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.