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Finding the Third Proportional to 138,672 and 327,240

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Solution

The third proportional to 138,672 and 327,240 is: 772,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,672 : 327,240 = 327,240 : x
  2. Step 2: Convert to fraction form
    138,672/327,240 = 327,240/x
  3. Step 3: Cross multiply
    138,672x = 327,240 × 327,240
  4. Step 4: Simplify right side
    138,672x = 107,086,017,600
  5. Step 5: Solve for x
    x = 107,086,017,600/138,672
  6. Step 6: Final answer
    x = 772,225.23

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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.