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Finding the Third Proportional to 89,166 and 138,511

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Solution

The third proportional to 89,166 and 138,511 is: 215,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,166 : 138,511 = 138,511 : x
  2. Step 2: Convert to fraction form
    89,166/138,511 = 138,511/x
  3. Step 3: Cross multiply
    89,166x = 138,511 × 138,511
  4. Step 4: Simplify right side
    89,166x = 19,185,297,121
  5. Step 5: Solve for x
    x = 19,185,297,121/89,166
  6. Step 6: Final answer
    x = 215,163.82

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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.