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Finding the Third Proportional to 138,414 and 207,621

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Solution

The third proportional to 138,414 and 207,621 is: 311,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,414 : 207,621 = 207,621 : x
  2. Step 2: Convert to fraction form
    138,414/207,621 = 207,621/x
  3. Step 3: Cross multiply
    138,414x = 207,621 × 207,621
  4. Step 4: Simplify right side
    138,414x = 43,106,479,641
  5. Step 5: Solve for x
    x = 43,106,479,641/138,414
  6. Step 6: Final answer
    x = 311,431.50

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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.