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Finding the Third Proportional to 131,865 and 209,651

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Solution

The third proportional to 131,865 and 209,651 is: 333,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,865 : 209,651 = 209,651 : x
  2. Step 2: Convert to fraction form
    131,865/209,651 = 209,651/x
  3. Step 3: Cross multiply
    131,865x = 209,651 × 209,651
  4. Step 4: Simplify right side
    131,865x = 43,953,541,801
  5. Step 5: Solve for x
    x = 43,953,541,801/131,865
  6. Step 6: Final answer
    x = 333,322.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.