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Finding the Third Proportional to 300,993,102.56 and 460,485,745.88

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Solution

The third proportional to 300,993,102.56 and 460,485,745.88 is: 704,491,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,993,102.56 : 460,485,745.88 = 460,485,745.88 : x
  2. Step 2: Convert to fraction form
    300,993,102.56/460,485,745.88 = 460,485,745.88/x
  3. Step 3: Cross multiply
    300,993,102.56x = 460,485,745.88 × 460,485,745.88
  4. Step 4: Simplify right side
    300,993,102.56x = 212,047,122,154,055,072
  5. Step 5: Solve for x
    x = 212,047,122,154,055,072/300,993,102.56
  6. Step 6: Final answer
    x = 704,491,632.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.