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Finding the Third Proportional to 30,256 and 81,289

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Solution

The third proportional to 30,256 and 81,289 is: 218,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256 : 81,289 = 81,289 : x
  2. Step 2: Convert to fraction form
    30,256/81,289 = 81,289/x
  3. Step 3: Cross multiply
    30,256x = 81,289 × 81,289
  4. Step 4: Simplify right side
    30,256x = 6,607,901,521
  5. Step 5: Solve for x
    x = 6,607,901,521/30,256
  6. Step 6: Final answer
    x = 218,399.71

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.