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Finding the Third Proportional to 440,376 and 612,756

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Solution

The third proportional to 440,376 and 612,756 is: 852,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,376 : 612,756 = 612,756 : x
  2. Step 2: Convert to fraction form
    440,376/612,756 = 612,756/x
  3. Step 3: Cross multiply
    440,376x = 612,756 × 612,756
  4. Step 4: Simplify right side
    440,376x = 375,469,915,536
  5. Step 5: Solve for x
    x = 375,469,915,536/440,376
  6. Step 6: Final answer
    x = 852,612.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.