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Finding the Third Proportional to 128,196 and 171,414

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Solution

The third proportional to 128,196 and 171,414 is: 229,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,196 : 171,414 = 171,414 : x
  2. Step 2: Convert to fraction form
    128,196/171,414 = 171,414/x
  3. Step 3: Cross multiply
    128,196x = 171,414 × 171,414
  4. Step 4: Simplify right side
    128,196x = 29,382,759,396
  5. Step 5: Solve for x
    x = 29,382,759,396/128,196
  6. Step 6: Final answer
    x = 229,201.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.