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Finding the Third Proportional to 169,821 and 369,126

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Solution

The third proportional to 169,821 and 369,126 is: 802,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,821 : 369,126 = 369,126 : x
  2. Step 2: Convert to fraction form
    169,821/369,126 = 369,126/x
  3. Step 3: Cross multiply
    169,821x = 369,126 × 369,126
  4. Step 4: Simplify right side
    169,821x = 136,254,003,876
  5. Step 5: Solve for x
    x = 136,254,003,876/169,821
  6. Step 6: Final answer
    x = 802,338.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.