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Finding the Third Proportional to 169,956 and 335,540

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Solution

The third proportional to 169,956 and 335,540 is: 662,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,956 : 335,540 = 335,540 : x
  2. Step 2: Convert to fraction form
    169,956/335,540 = 335,540/x
  3. Step 3: Cross multiply
    169,956x = 335,540 × 335,540
  4. Step 4: Simplify right side
    169,956x = 112,587,091,600
  5. Step 5: Solve for x
    x = 112,587,091,600/169,956
  6. Step 6: Final answer
    x = 662,448.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.