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Finding the Third Proportional to 75.38 and 138.09

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Solution

The third proportional to 75.38 and 138.09 is: 253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 138.09 = 138.09 : x
  2. Step 2: Convert to fraction form
    75.38/138.09 = 138.09/x
  3. Step 3: Cross multiply
    75.38x = 138.09 × 138.09
  4. Step 4: Simplify right side
    75.38x = 19,069.88
  5. Step 5: Solve for x
    x = 19,069.88/75.38
  6. Step 6: Final answer
    x = 253.00

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.