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Finding the Third Proportional to 199,836,835 and 299,755,232.50

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Solution

The third proportional to 199,836,835 and 299,755,232.50 is: 449,632,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836,835 : 299,755,232.50 = 299,755,232.50 : x
  2. Step 2: Convert to fraction form
    199,836,835/299,755,232.50 = 299,755,232.50/x
  3. Step 3: Cross multiply
    199,836,835x = 299,755,232.50 × 299,755,232.50
  4. Step 4: Simplify right side
    199,836,835x = 89,853,199,411,129,056
  5. Step 5: Solve for x
    x = 89,853,199,411,129,056/199,836,835
  6. Step 6: Final answer
    x = 449,632,818.75

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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.