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Finding the Third Proportional to 138,996 and 299,608

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Solution

The third proportional to 138,996 and 299,608 is: 645,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,996 : 299,608 = 299,608 : x
  2. Step 2: Convert to fraction form
    138,996/299,608 = 299,608/x
  3. Step 3: Cross multiply
    138,996x = 299,608 × 299,608
  4. Step 4: Simplify right side
    138,996x = 89,764,953,664
  5. Step 5: Solve for x
    x = 89,764,953,664/138,996
  6. Step 6: Final answer
    x = 645,809.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.