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Finding the Third Proportional to 138,724 and 327,270

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Solution

The third proportional to 138,724 and 327,270 is: 772,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,724 : 327,270 = 327,270 : x
  2. Step 2: Convert to fraction form
    138,724/327,270 = 327,270/x
  3. Step 3: Cross multiply
    138,724x = 327,270 × 327,270
  4. Step 4: Simplify right side
    138,724x = 107,105,652,900
  5. Step 5: Solve for x
    x = 107,105,652,900/138,724
  6. Step 6: Final answer
    x = 772,077.31

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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.