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Finding the Third Proportional to 138,279 and 301,586

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Solution

The third proportional to 138,279 and 301,586 is: 657,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,279 : 301,586 = 301,586 : x
  2. Step 2: Convert to fraction form
    138,279/301,586 = 301,586/x
  3. Step 3: Cross multiply
    138,279x = 301,586 × 301,586
  4. Step 4: Simplify right side
    138,279x = 90,954,115,396
  5. Step 5: Solve for x
    x = 90,954,115,396/138,279
  6. Step 6: Final answer
    x = 657,757.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.