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Finding the Third Proportional to 198,269,884 and 431,814,584

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Solution

The third proportional to 198,269,884 and 431,814,584 is: 940,454,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,269,884 : 431,814,584 = 431,814,584 : x
  2. Step 2: Convert to fraction form
    198,269,884/431,814,584 = 431,814,584/x
  3. Step 3: Cross multiply
    198,269,884x = 431,814,584 × 431,814,584
  4. Step 4: Simplify right side
    198,269,884x = 186,463,834,955,093,056
  5. Step 5: Solve for x
    x = 186,463,834,955,093,056/198,269,884
  6. Step 6: Final answer
    x = 940,454,652.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.