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Finding the Third Proportional to 263,320.88 and 397,310.06

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Solution

The third proportional to 263,320.88 and 397,310.06 is: 599,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,320.88 : 397,310.06 = 397,310.06 : x
  2. Step 2: Convert to fraction form
    263,320.88/397,310.06 = 397,310.06/x
  3. Step 3: Cross multiply
    263,320.88x = 397,310.06 × 397,310.06
  4. Step 4: Simplify right side
    263,320.88x = 157,855,285,763.75
  5. Step 5: Solve for x
    x = 157,855,285,763.75/263,320.88
  6. Step 6: Final answer
    x = 599,478.81

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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.