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Finding the Third Proportional to 299,145,720 and 447,522,756

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Solution

The third proportional to 299,145,720 and 447,522,756 is: 669,495,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,145,720 : 447,522,756 = 447,522,756 : x
  2. Step 2: Convert to fraction form
    299,145,720/447,522,756 = 447,522,756/x
  3. Step 3: Cross multiply
    299,145,720x = 447,522,756 × 447,522,756
  4. Step 4: Simplify right side
    299,145,720x = 200,276,617,137,835,520
  5. Step 5: Solve for x
    x = 200,276,617,137,835,520/299,145,720
  6. Step 6: Final answer
    x = 669,495,178.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.