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Finding the Third Proportional to 72,724,515 and 156,783,198

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Solution

The third proportional to 72,724,515 and 156,783,198 is: 338,001,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,724,515 : 156,783,198 = 156,783,198 : x
  2. Step 2: Convert to fraction form
    72,724,515/156,783,198 = 156,783,198/x
  3. Step 3: Cross multiply
    72,724,515x = 156,783,198 × 156,783,198
  4. Step 4: Simplify right side
    72,724,515x = 24,580,971,175,107,204
  5. Step 5: Solve for x
    x = 24,580,971,175,107,204/72,724,515
  6. Step 6: Final answer
    x = 338,001,170.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.