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Finding the Third Proportional to 98,986 and 134,485

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Solution

The third proportional to 98,986 and 134,485 is: 182,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,986 : 134,485 = 134,485 : x
  2. Step 2: Convert to fraction form
    98,986/134,485 = 134,485/x
  3. Step 3: Cross multiply
    98,986x = 134,485 × 134,485
  4. Step 4: Simplify right side
    98,986x = 18,086,215,225
  5. Step 5: Solve for x
    x = 18,086,215,225/98,986
  6. Step 6: Final answer
    x = 182,714.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.