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Finding the Third Proportional to 89,212.75 and 138,301.38

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Solution

The third proportional to 89,212.75 and 138,301.38 is: 214,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,212.75 : 138,301.38 = 138,301.38 : x
  2. Step 2: Convert to fraction form
    89,212.75/138,301.38 = 138,301.38/x
  3. Step 3: Cross multiply
    89,212.75x = 138,301.38 × 138,301.38
  4. Step 4: Simplify right side
    89,212.75x = 19,127,270,326.89
  5. Step 5: Solve for x
    x = 19,127,270,326.89/89,212.75
  6. Step 6: Final answer
    x = 214,400.64

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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.