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Finding the Third Proportional to 133,224,549 and 199,836,810

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Solution

The third proportional to 133,224,549 and 199,836,810 is: 299,755,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,224,549 : 199,836,810 = 199,836,810 : x
  2. Step 2: Convert to fraction form
    133,224,549/199,836,810 = 199,836,810/x
  3. Step 3: Cross multiply
    133,224,549x = 199,836,810 × 199,836,810
  4. Step 4: Simplify right side
    133,224,549x = 39,934,750,630,976,096
  5. Step 5: Solve for x
    x = 39,934,750,630,976,096/133,224,549
  6. Step 6: Final answer
    x = 299,755,194.75

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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.