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Finding the Third Proportional to 89,242 and 138,259

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Solution

The third proportional to 89,242 and 138,259 is: 214,199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,242 : 138,259 = 138,259 : x
  2. Step 2: Convert to fraction form
    89,242/138,259 = 138,259/x
  3. Step 3: Cross multiply
    89,242x = 138,259 × 138,259
  4. Step 4: Simplify right side
    89,242x = 19,115,551,081
  5. Step 5: Solve for x
    x = 19,115,551,081/89,242
  6. Step 6: Final answer
    x = 214,199.04

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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.