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Finding the Third Proportional to 138,427.88 and 197,947.69

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Solution

The third proportional to 138,427.88 and 197,947.69 is: 283,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,427.88 : 197,947.69 = 197,947.69 : x
  2. Step 2: Convert to fraction form
    138,427.88/197,947.69 = 197,947.69/x
  3. Step 3: Cross multiply
    138,427.88x = 197,947.69 × 197,947.69
  4. Step 4: Simplify right side
    138,427.88x = 39,183,286,986.60
  5. Step 5: Solve for x
    x = 39,183,286,986.60/138,427.88
  6. Step 6: Final answer
    x = 283,059.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.