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Finding the Third Proportional to 58,638 and 138,285

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Solution

The third proportional to 58,638 and 138,285 is: 326,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,638 : 138,285 = 138,285 : x
  2. Step 2: Convert to fraction form
    58,638/138,285 = 138,285/x
  3. Step 3: Cross multiply
    58,638x = 138,285 × 138,285
  4. Step 4: Simplify right side
    58,638x = 19,122,741,225
  5. Step 5: Solve for x
    x = 19,122,741,225/58,638
  6. Step 6: Final answer
    x = 326,115.17

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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.