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Finding the Third Proportional to 138,427.88 and 296,049.38

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Solution

The third proportional to 138,427.88 and 296,049.38 is: 633,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,427.88 : 296,049.38 = 296,049.38 : x
  2. Step 2: Convert to fraction form
    138,427.88/296,049.38 = 296,049.38/x
  3. Step 3: Cross multiply
    138,427.88x = 296,049.38 × 296,049.38
  4. Step 4: Simplify right side
    138,427.88x = 87,645,232,437.89
  5. Step 5: Solve for x
    x = 87,645,232,437.89/138,427.88
  6. Step 6: Final answer
    x = 633,147.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.