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Finding the Third Proportional to 263,616.75 and 399,121.88

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Solution

The third proportional to 263,616.75 and 399,121.88 is: 604,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,616.75 : 399,121.88 = 399,121.88 : x
  2. Step 2: Convert to fraction form
    263,616.75/399,121.88 = 399,121.88/x
  3. Step 3: Cross multiply
    263,616.75x = 399,121.88 × 399,121.88
  4. Step 4: Simplify right side
    263,616.75x = 159,298,271,103.52
  5. Step 5: Solve for x
    x = 159,298,271,103.52/263,616.75
  6. Step 6: Final answer
    x = 604,279.78

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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.