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Finding the Third Proportional to 226,240.50 and 446,770.50

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Solution

The third proportional to 226,240.50 and 446,770.50 is: 882,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,240.50 : 446,770.50 = 446,770.50 : x
  2. Step 2: Convert to fraction form
    226,240.50/446,770.50 = 446,770.50/x
  3. Step 3: Cross multiply
    226,240.50x = 446,770.50 × 446,770.50
  4. Step 4: Simplify right side
    226,240.50x = 199,603,879,670.25
  5. Step 5: Solve for x
    x = 199,603,879,670.25/226,240.50
  6. Step 6: Final answer
    x = 882,264.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.