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Finding the Third Proportional to 205,107 and 310,491

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Solution

The third proportional to 205,107 and 310,491 is: 470,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,107 : 310,491 = 310,491 : x
  2. Step 2: Convert to fraction form
    205,107/310,491 = 310,491/x
  3. Step 3: Cross multiply
    205,107x = 310,491 × 310,491
  4. Step 4: Simplify right side
    205,107x = 96,404,661,081
  5. Step 5: Solve for x
    x = 96,404,661,081/205,107
  6. Step 6: Final answer
    x = 470,021.31

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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.