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Finding the Third Proportional to 49,969,340 and 120,378,156

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Solution

The third proportional to 49,969,340 and 120,378,156 is: 289,995,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,969,340 : 120,378,156 = 120,378,156 : x
  2. Step 2: Convert to fraction form
    49,969,340/120,378,156 = 120,378,156/x
  3. Step 3: Cross multiply
    49,969,340x = 120,378,156 × 120,378,156
  4. Step 4: Simplify right side
    49,969,340x = 14,490,900,441,960,336
  5. Step 5: Solve for x
    x = 14,490,900,441,960,336/49,969,340
  6. Step 6: Final answer
    x = 289,995,834.28

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.