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Finding the Third Proportional to 138,192 and 207,396

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Solution

The third proportional to 138,192 and 207,396 is: 311,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,192 : 207,396 = 207,396 : x
  2. Step 2: Convert to fraction form
    138,192/207,396 = 207,396/x
  3. Step 3: Cross multiply
    138,192x = 207,396 × 207,396
  4. Step 4: Simplify right side
    138,192x = 43,013,100,816
  5. Step 5: Solve for x
    x = 43,013,100,816/138,192
  6. Step 6: Final answer
    x = 311,256.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.