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Finding the Third Proportional to 128,622 and 201,165

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Solution

The third proportional to 128,622 and 201,165 is: 314,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,622 : 201,165 = 201,165 : x
  2. Step 2: Convert to fraction form
    128,622/201,165 = 201,165/x
  3. Step 3: Cross multiply
    128,622x = 201,165 × 201,165
  4. Step 4: Simplify right side
    128,622x = 40,467,357,225
  5. Step 5: Solve for x
    x = 40,467,357,225/128,622
  6. Step 6: Final answer
    x = 314,622.36

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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.