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Finding the Third Proportional to 138,905,538 and 204,343,299

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Solution

The third proportional to 138,905,538 and 204,343,299 is: 300,608,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,905,538 : 204,343,299 = 204,343,299 : x
  2. Step 2: Convert to fraction form
    138,905,538/204,343,299 = 204,343,299/x
  3. Step 3: Cross multiply
    138,905,538x = 204,343,299 × 204,343,299
  4. Step 4: Simplify right side
    138,905,538x = 41,756,183,846,203,400
  5. Step 5: Solve for x
    x = 41,756,183,846,203,400/138,905,538
  6. Step 6: Final answer
    x = 300,608,488.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.