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Finding the Third Proportional to 81,328 and 118,286

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Solution

The third proportional to 81,328 and 118,286 is: 172,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,328 : 118,286 = 118,286 : x
  2. Step 2: Convert to fraction form
    81,328/118,286 = 118,286/x
  3. Step 3: Cross multiply
    81,328x = 118,286 × 118,286
  4. Step 4: Simplify right side
    81,328x = 13,991,577,796
  5. Step 5: Solve for x
    x = 13,991,577,796/81,328
  6. Step 6: Final answer
    x = 172,038.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.