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Finding the Third Proportional to 205,364 and 300,930

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Solution

The third proportional to 205,364 and 300,930 is: 440,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364 : 300,930 = 300,930 : x
  2. Step 2: Convert to fraction form
    205,364/300,930 = 300,930/x
  3. Step 3: Cross multiply
    205,364x = 300,930 × 300,930
  4. Step 4: Simplify right side
    205,364x = 90,558,864,900
  5. Step 5: Solve for x
    x = 90,558,864,900/205,364
  6. Step 6: Final answer
    x = 440,967.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.