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Finding the Third Proportional to 169,720 and 335,156

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Solution

The third proportional to 169,720 and 335,156 is: 661,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,720 : 335,156 = 335,156 : x
  2. Step 2: Convert to fraction form
    169,720/335,156 = 335,156/x
  3. Step 3: Cross multiply
    169,720x = 335,156 × 335,156
  4. Step 4: Simplify right side
    169,720x = 112,329,544,336
  5. Step 5: Solve for x
    x = 112,329,544,336/169,720
  6. Step 6: Final answer
    x = 661,852.13

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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.