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Finding the Third Proportional to 205,674 and 310,696

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Solution

The third proportional to 205,674 and 310,696 is: 469,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,674 : 310,696 = 310,696 : x
  2. Step 2: Convert to fraction form
    205,674/310,696 = 310,696/x
  3. Step 3: Cross multiply
    205,674x = 310,696 × 310,696
  4. Step 4: Simplify right side
    205,674x = 96,532,004,416
  5. Step 5: Solve for x
    x = 96,532,004,416/205,674
  6. Step 6: Final answer
    x = 469,344.71

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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.