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Finding the Third Proportional to 136,380,163.50 and 299,164,221

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Solution

The third proportional to 136,380,163.50 and 299,164,221 is: 656,248,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,380,163.50 : 299,164,221 = 299,164,221 : x
  2. Step 2: Convert to fraction form
    136,380,163.50/299,164,221 = 299,164,221/x
  3. Step 3: Cross multiply
    136,380,163.50x = 299,164,221 × 299,164,221
  4. Step 4: Simplify right side
    136,380,163.50x = 89,499,231,126,536,848
  5. Step 5: Solve for x
    x = 89,499,231,126,536,848/136,380,163.50
  6. Step 6: Final answer
    x = 656,248,158.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.