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Finding the Third Proportional to 58,619 and 138,238

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Solution

The third proportional to 58,619 and 138,238 is: 325,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,619 : 138,238 = 138,238 : x
  2. Step 2: Convert to fraction form
    58,619/138,238 = 138,238/x
  3. Step 3: Cross multiply
    58,619x = 138,238 × 138,238
  4. Step 4: Simplify right side
    58,619x = 19,109,744,644
  5. Step 5: Solve for x
    x = 19,109,744,644/58,619
  6. Step 6: Final answer
    x = 325,999.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.