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Finding the Third Proportional to 156,379,116 and 212,142,441

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Solution

The third proportional to 156,379,116 and 212,142,441 is: 287,790,444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,379,116 : 212,142,441 = 212,142,441 : x
  2. Step 2: Convert to fraction form
    156,379,116/212,142,441 = 212,142,441/x
  3. Step 3: Cross multiply
    156,379,116x = 212,142,441 × 212,142,441
  4. Step 4: Simplify right side
    156,379,116x = 45,004,415,273,438,480
  5. Step 5: Solve for x
    x = 45,004,415,273,438,480/156,379,116
  6. Step 6: Final answer
    x = 287,790,444.30

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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.