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Finding the Third Proportional to 156,379,135 and 212,142,469

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Solution

The third proportional to 156,379,135 and 212,142,469 is: 287,790,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,379,135 : 212,142,469 = 212,142,469 : x
  2. Step 2: Convert to fraction form
    156,379,135/212,142,469 = 212,142,469/x
  3. Step 3: Cross multiply
    156,379,135x = 212,142,469 × 212,142,469
  4. Step 4: Simplify right side
    156,379,135x = 45,004,427,153,415,960
  5. Step 5: Solve for x
    x = 45,004,427,153,415,960/156,379,135
  6. Step 6: Final answer
    x = 287,790,485.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.