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Finding the Third Proportional to 89,203.78 and 138,335.34

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Solution

The third proportional to 89,203.78 and 138,335.34 is: 214,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,203.78 : 138,335.34 = 138,335.34 : x
  2. Step 2: Convert to fraction form
    89,203.78/138,335.34 = 138,335.34/x
  3. Step 3: Cross multiply
    89,203.78x = 138,335.34 × 138,335.34
  4. Step 4: Simplify right side
    89,203.78x = 19,136,667,330.43
  5. Step 5: Solve for x
    x = 19,136,667,330.43/89,203.78
  6. Step 6: Final answer
    x = 214,527.54

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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.