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Finding the Third Proportional to 138,415 and 207,622

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Solution

The third proportional to 138,415 and 207,622 is: 311,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415 : 207,622 = 207,622 : x
  2. Step 2: Convert to fraction form
    138,415/207,622 = 207,622/x
  3. Step 3: Cross multiply
    138,415x = 207,622 × 207,622
  4. Step 4: Simplify right side
    138,415x = 43,106,894,884
  5. Step 5: Solve for x
    x = 43,106,894,884/138,415
  6. Step 6: Final answer
    x = 311,432.25

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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.