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Finding the Third Proportional to 138,291.75 and 189,259.88

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Solution

The third proportional to 138,291.75 and 189,259.88 is: 259,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,291.75 : 189,259.88 = 189,259.88 : x
  2. Step 2: Convert to fraction form
    138,291.75/189,259.88 = 189,259.88/x
  3. Step 3: Cross multiply
    138,291.75x = 189,259.88 × 189,259.88
  4. Step 4: Simplify right side
    138,291.75x = 35,819,300,285.02
  5. Step 5: Solve for x
    x = 35,819,300,285.02/138,291.75
  6. Step 6: Final answer
    x = 259,012.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.