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Finding the Third Proportional to 298,587,745.97 and 447,881,668.31

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Solution

The third proportional to 298,587,745.97 and 447,881,668.31 is: 671,822,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,587,745.97 : 447,881,668.31 = 447,881,668.31 : x
  2. Step 2: Convert to fraction form
    298,587,745.97/447,881,668.31 = 447,881,668.31/x
  3. Step 3: Cross multiply
    298,587,745.97x = 447,881,668.31 × 447,881,668.31
  4. Step 4: Simplify right side
    298,587,745.97x = 200,597,988,810,388,256
  5. Step 5: Solve for x
    x = 200,597,988,810,388,256/298,587,745.97
  6. Step 6: Final answer
    x = 671,822,576.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.