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Finding the Third Proportional to 169,138 and 400,700

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Solution

The third proportional to 169,138 and 400,700 is: 949,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,138 : 400,700 = 400,700 : x
  2. Step 2: Convert to fraction form
    169,138/400,700 = 400,700/x
  3. Step 3: Cross multiply
    169,138x = 400,700 × 400,700
  4. Step 4: Simplify right side
    169,138x = 160,560,490,000
  5. Step 5: Solve for x
    x = 160,560,490,000/169,138
  6. Step 6: Final answer
    x = 949,286.91

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.