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Finding the Third Proportional to 51,469,472.25 and 113,140,935

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Solution

The third proportional to 51,469,472.25 and 113,140,935 is: 248,708,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469,472.25 : 113,140,935 = 113,140,935 : x
  2. Step 2: Convert to fraction form
    51,469,472.25/113,140,935 = 113,140,935/x
  3. Step 3: Cross multiply
    51,469,472.25x = 113,140,935 × 113,140,935
  4. Step 4: Simplify right side
    51,469,472.25x = 12,800,871,172,674,224
  5. Step 5: Solve for x
    x = 12,800,871,172,674,224/51,469,472.25
  6. Step 6: Final answer
    x = 248,708,032.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.