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Finding the Third Proportional to 138,361.50 and 208,509

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Solution

The third proportional to 138,361.50 and 208,509 is: 314,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,361.50 : 208,509 = 208,509 : x
  2. Step 2: Convert to fraction form
    138,361.50/208,509 = 208,509/x
  3. Step 3: Cross multiply
    138,361.50x = 208,509 × 208,509
  4. Step 4: Simplify right side
    138,361.50x = 43,476,003,081
  5. Step 5: Solve for x
    x = 43,476,003,081/138,361.50
  6. Step 6: Final answer
    x = 314,220.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.