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Finding the Third Proportional to 305,512 and 663,296

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Solution

The third proportional to 305,512 and 663,296 is: 1,440,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,512 : 663,296 = 663,296 : x
  2. Step 2: Convert to fraction form
    305,512/663,296 = 663,296/x
  3. Step 3: Cross multiply
    305,512x = 663,296 × 663,296
  4. Step 4: Simplify right side
    305,512x = 439,961,583,616
  5. Step 5: Solve for x
    x = 439,961,583,616/305,512
  6. Step 6: Final answer
    x = 1,440,079.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.