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Finding the Third Proportional to 263,904 and 408,808

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Solution

The third proportional to 263,904 and 408,808 is: 633,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,904 : 408,808 = 408,808 : x
  2. Step 2: Convert to fraction form
    263,904/408,808 = 408,808/x
  3. Step 3: Cross multiply
    263,904x = 408,808 × 408,808
  4. Step 4: Simplify right side
    263,904x = 167,123,980,864
  5. Step 5: Solve for x
    x = 167,123,980,864/263,904
  6. Step 6: Final answer
    x = 633,275.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.