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Finding the Third Proportional to 263,888 and 408,785

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Solution

The third proportional to 263,888 and 408,785 is: 633,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,888 : 408,785 = 408,785 : x
  2. Step 2: Convert to fraction form
    263,888/408,785 = 408,785/x
  3. Step 3: Cross multiply
    263,888x = 408,785 × 408,785
  4. Step 4: Simplify right side
    263,888x = 167,105,176,225
  5. Step 5: Solve for x
    x = 167,105,176,225/263,888
  6. Step 6: Final answer
    x = 633,242.80

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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.