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Finding the Third Proportional to 89,181.75 and 138,029.88

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Solution

The third proportional to 89,181.75 and 138,029.88 is: 213,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,181.75 : 138,029.88 = 138,029.88 : x
  2. Step 2: Convert to fraction form
    89,181.75/138,029.88 = 138,029.88/x
  3. Step 3: Cross multiply
    89,181.75x = 138,029.88 × 138,029.88
  4. Step 4: Simplify right side
    89,181.75x = 19,052,246,392.52
  5. Step 5: Solve for x
    x = 19,052,246,392.52/89,181.75
  6. Step 6: Final answer
    x = 213,633.91

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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.