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Finding the Third Proportional to 138,534.38 and 299,172.38

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Solution

The third proportional to 138,534.38 and 299,172.38 is: 646,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,534.38 : 299,172.38 = 299,172.38 : x
  2. Step 2: Convert to fraction form
    138,534.38/299,172.38 = 299,172.38/x
  3. Step 3: Cross multiply
    138,534.38x = 299,172.38 × 299,172.38
  4. Step 4: Simplify right side
    138,534.38x = 89,504,109,963.14
  5. Step 5: Solve for x
    x = 89,504,109,963.14/138,534.38
  6. Step 6: Final answer
    x = 646,078.71

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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.