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Finding the Third Proportional to 3,295,125 and 4,930,744.50

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Solution

The third proportional to 3,295,125 and 4,930,744.50 is: 7,378,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295,125 : 4,930,744.50 = 4,930,744.50 : x
  2. Step 2: Convert to fraction form
    3,295,125/4,930,744.50 = 4,930,744.50/x
  3. Step 3: Cross multiply
    3,295,125x = 4,930,744.50 × 4,930,744.50
  4. Step 4: Simplify right side
    3,295,125x = 24,312,241,324,280.25
  5. Step 5: Solve for x
    x = 24,312,241,324,280.25/3,295,125
  6. Step 6: Final answer
    x = 7,378,245.54

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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.