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Finding the Third Proportional to 198,339,048 and 430,645,608

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Solution

The third proportional to 198,339,048 and 430,645,608 is: 935,043,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,339,048 : 430,645,608 = 430,645,608 : x
  2. Step 2: Convert to fraction form
    198,339,048/430,645,608 = 430,645,608/x
  3. Step 3: Cross multiply
    198,339,048x = 430,645,608 × 430,645,608
  4. Step 4: Simplify right side
    198,339,048x = 185,455,639,689,689,664
  5. Step 5: Solve for x
    x = 185,455,639,689,689,664/198,339,048
  6. Step 6: Final answer
    x = 935,043,510.39

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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.