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Finding the Third Proportional to 89,176 and 138,525

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Solution

The third proportional to 89,176 and 138,525 is: 215,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,176 : 138,525 = 138,525 : x
  2. Step 2: Convert to fraction form
    89,176/138,525 = 138,525/x
  3. Step 3: Cross multiply
    89,176x = 138,525 × 138,525
  4. Step 4: Simplify right side
    89,176x = 19,189,175,625
  5. Step 5: Solve for x
    x = 19,189,175,625/89,176
  6. Step 6: Final answer
    x = 215,183.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.