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Finding the Third Proportional to 169,236 and 371,690

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Solution

The third proportional to 169,236 and 371,690 is: 816,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,236 : 371,690 = 371,690 : x
  2. Step 2: Convert to fraction form
    169,236/371,690 = 371,690/x
  3. Step 3: Cross multiply
    169,236x = 371,690 × 371,690
  4. Step 4: Simplify right side
    169,236x = 138,153,456,100
  5. Step 5: Solve for x
    x = 138,153,456,100/169,236
  6. Step 6: Final answer
    x = 816,336.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.