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Finding the Third Proportional to 138,444 and 299,112

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Solution

The third proportional to 138,444 and 299,112 is: 646,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,444 : 299,112 = 299,112 : x
  2. Step 2: Convert to fraction form
    138,444/299,112 = 299,112/x
  3. Step 3: Cross multiply
    138,444x = 299,112 × 299,112
  4. Step 4: Simplify right side
    138,444x = 89,467,988,544
  5. Step 5: Solve for x
    x = 89,467,988,544/138,444
  6. Step 6: Final answer
    x = 646,239.55

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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.