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Finding the Third Proportional to 415,880 and 669,756

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Solution

The third proportional to 415,880 and 669,756 is: 1,078,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,880 : 669,756 = 669,756 : x
  2. Step 2: Convert to fraction form
    415,880/669,756 = 669,756/x
  3. Step 3: Cross multiply
    415,880x = 669,756 × 669,756
  4. Step 4: Simplify right side
    415,880x = 448,573,099,536
  5. Step 5: Solve for x
    x = 448,573,099,536/415,880
  6. Step 6: Final answer
    x = 1,078,611.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.