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Finding the Third Proportional to 128,620 and 201,162

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Solution

The third proportional to 128,620 and 201,162 is: 314,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,620 : 201,162 = 201,162 : x
  2. Step 2: Convert to fraction form
    128,620/201,162 = 201,162/x
  3. Step 3: Cross multiply
    128,620x = 201,162 × 201,162
  4. Step 4: Simplify right side
    128,620x = 40,466,150,244
  5. Step 5: Solve for x
    x = 40,466,150,244/128,620
  6. Step 6: Final answer
    x = 314,617.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.