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Finding the Third Proportional to 58,580 and 138,227

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Solution

The third proportional to 58,580 and 138,227 is: 326,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,580 : 138,227 = 138,227 : x
  2. Step 2: Convert to fraction form
    58,580/138,227 = 138,227/x
  3. Step 3: Cross multiply
    58,580x = 138,227 × 138,227
  4. Step 4: Simplify right side
    58,580x = 19,106,703,529
  5. Step 5: Solve for x
    x = 19,106,703,529/58,580
  6. Step 6: Final answer
    x = 326,164.28

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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.