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Finding the Third Proportional to 223,040,344.50 and 483,149,245.50

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Solution

The third proportional to 223,040,344.50 and 483,149,245.50 is: 1,046,596,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,040,344.50 : 483,149,245.50 = 483,149,245.50 : x
  2. Step 2: Convert to fraction form
    223,040,344.50/483,149,245.50 = 483,149,245.50/x
  3. Step 3: Cross multiply
    223,040,344.50x = 483,149,245.50 × 483,149,245.50
  4. Step 4: Simplify right side
    223,040,344.50x = 233,433,193,427,219,264
  5. Step 5: Solve for x
    x = 233,433,193,427,219,264/223,040,344.50
  6. Step 6: Final answer
    x = 1,046,596,273.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.