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Finding the Third Proportional to 138,575.25 and 304,427.25

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Solution

The third proportional to 138,575.25 and 304,427.25 is: 668,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,575.25 : 304,427.25 = 304,427.25 : x
  2. Step 2: Convert to fraction form
    138,575.25/304,427.25 = 304,427.25/x
  3. Step 3: Cross multiply
    138,575.25x = 304,427.25 × 304,427.25
  4. Step 4: Simplify right side
    138,575.25x = 92,675,950,542.56
  5. Step 5: Solve for x
    x = 92,675,950,542.56/138,575.25
  6. Step 6: Final answer
    x = 668,777.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.