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Finding the Third Proportional to 138,720.73 and 208,100.31

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Solution

The third proportional to 138,720.73 and 208,100.31 is: 312,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,720.73 : 208,100.31 = 208,100.31 : x
  2. Step 2: Convert to fraction form
    138,720.73/208,100.31 = 208,100.31/x
  3. Step 3: Cross multiply
    138,720.73x = 208,100.31 × 208,100.31
  4. Step 4: Simplify right side
    138,720.73x = 43,305,739,656.15
  5. Step 5: Solve for x
    x = 43,305,739,656.15/138,720.73
  6. Step 6: Final answer
    x = 312,179.30

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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.