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Finding the Third Proportional to 208,421,986 and 445,527,172

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Solution

The third proportional to 208,421,986 and 445,527,172 is: 952,368,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,421,986 : 445,527,172 = 445,527,172 : x
  2. Step 2: Convert to fraction form
    208,421,986/445,527,172 = 445,527,172/x
  3. Step 3: Cross multiply
    208,421,986x = 445,527,172 × 445,527,172
  4. Step 4: Simplify right side
    208,421,986x = 198,494,460,990,317,568
  5. Step 5: Solve for x
    x = 198,494,460,990,317,568/208,421,986
  6. Step 6: Final answer
    x = 952,368,148.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.