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Finding the Third Proportional to 199,836,817 and 299,755,205

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Solution

The third proportional to 199,836,817 and 299,755,205 is: 449,632,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836,817 : 299,755,205 = 299,755,205 : x
  2. Step 2: Convert to fraction form
    199,836,817/299,755,205 = 299,755,205/x
  3. Step 3: Cross multiply
    199,836,817x = 299,755,205 × 299,755,205
  4. Step 4: Simplify right side
    199,836,817x = 89,853,182,924,592,032
  5. Step 5: Solve for x
    x = 89,853,182,924,592,032/199,836,817
  6. Step 6: Final answer
    x = 449,632,776.75

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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.