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Finding the Third Proportional to 82,006,408.50 and 180,728,331

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Solution

The third proportional to 82,006,408.50 and 180,728,331 is: 398,294,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,006,408.50 : 180,728,331 = 180,728,331 : x
  2. Step 2: Convert to fraction form
    82,006,408.50/180,728,331 = 180,728,331/x
  3. Step 3: Cross multiply
    82,006,408.50x = 180,728,331 × 180,728,331
  4. Step 4: Simplify right side
    82,006,408.50x = 32,662,729,626,045,560
  5. Step 5: Solve for x
    x = 32,662,729,626,045,560/82,006,408.50
  6. Step 6: Final answer
    x = 398,294,843.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.