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Finding the Third Proportional to 169,236 and 371,689

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Solution

The third proportional to 169,236 and 371,689 is: 816,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,236 : 371,689 = 371,689 : x
  2. Step 2: Convert to fraction form
    169,236/371,689 = 371,689/x
  3. Step 3: Cross multiply
    169,236x = 371,689 × 371,689
  4. Step 4: Simplify right side
    169,236x = 138,152,712,721
  5. Step 5: Solve for x
    x = 138,152,712,721/169,236
  6. Step 6: Final answer
    x = 816,331.71

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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.