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Finding the Third Proportional to 263,320 and 397,310

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Solution

The third proportional to 263,320 and 397,310 is: 599,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,320 : 397,310 = 397,310 : x
  2. Step 2: Convert to fraction form
    263,320/397,310 = 397,310/x
  3. Step 3: Cross multiply
    263,320x = 397,310 × 397,310
  4. Step 4: Simplify right side
    263,320x = 157,855,236,100
  5. Step 5: Solve for x
    x = 157,855,236,100/263,320
  6. Step 6: Final answer
    x = 599,480.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.