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Finding the Third Proportional to 138,334.50 and 208,475.44

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Solution

The third proportional to 138,334.50 and 208,475.44 is: 314,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,334.50 : 208,475.44 = 208,475.44 : x
  2. Step 2: Convert to fraction form
    138,334.50/208,475.44 = 208,475.44/x
  3. Step 3: Cross multiply
    138,334.50x = 208,475.44 × 208,475.44
  4. Step 4: Simplify right side
    138,334.50x = 43,462,008,040.82
  5. Step 5: Solve for x
    x = 43,462,008,040.82/138,334.50
  6. Step 6: Final answer
    x = 314,180.54

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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.