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Finding the Third Proportional to 277,117 and 405,802

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Solution

The third proportional to 277,117 and 405,802 is: 594,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,117 : 405,802 = 405,802 : x
  2. Step 2: Convert to fraction form
    277,117/405,802 = 405,802/x
  3. Step 3: Cross multiply
    277,117x = 405,802 × 405,802
  4. Step 4: Simplify right side
    277,117x = 164,675,263,204
  5. Step 5: Solve for x
    x = 164,675,263,204/277,117
  6. Step 6: Final answer
    x = 594,244.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.