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Finding the Third Proportional to 199,836,819 and 299,755,208

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Solution

The third proportional to 199,836,819 and 299,755,208 is: 449,632,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836,819 : 299,755,208 = 299,755,208 : x
  2. Step 2: Convert to fraction form
    199,836,819/299,755,208 = 299,755,208/x
  3. Step 3: Cross multiply
    199,836,819x = 299,755,208 × 299,755,208
  4. Step 4: Simplify right side
    199,836,819x = 89,853,184,723,123,264
  5. Step 5: Solve for x
    x = 89,853,184,723,123,264/199,836,819
  6. Step 6: Final answer
    x = 449,632,781.25

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