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Finding the Third Proportional to 1,542,460.50 and 3,321,765

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Solution

The third proportional to 1,542,460.50 and 3,321,765 is: 7,153,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,460.50 : 3,321,765 = 3,321,765 : x
  2. Step 2: Convert to fraction form
    1,542,460.50/3,321,765 = 3,321,765/x
  3. Step 3: Cross multiply
    1,542,460.50x = 3,321,765 × 3,321,765
  4. Step 4: Simplify right side
    1,542,460.50x = 11,034,122,715,225
  5. Step 5: Solve for x
    x = 11,034,122,715,225/1,542,460.50
  6. Step 6: Final answer
    x = 7,153,585.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.