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Finding the Third Proportional to 169,811 and 369,109

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Solution

The third proportional to 169,811 and 369,109 is: 802,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,811 : 369,109 = 369,109 : x
  2. Step 2: Convert to fraction form
    169,811/369,109 = 369,109/x
  3. Step 3: Cross multiply
    169,811x = 369,109 × 369,109
  4. Step 4: Simplify right side
    169,811x = 136,241,453,881
  5. Step 5: Solve for x
    x = 136,241,453,881/169,811
  6. Step 6: Final answer
    x = 802,312.30

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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.