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Finding the Third Proportional to 138.59 and 299.95

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Solution

The third proportional to 138.59 and 299.95 is: 649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.59 : 299.95 = 299.95 : x
  2. Step 2: Convert to fraction form
    138.59/299.95 = 299.95/x
  3. Step 3: Cross multiply
    138.59x = 299.95 × 299.95
  4. Step 4: Simplify right side
    138.59x = 89,971.88
  5. Step 5: Solve for x
    x = 89,971.88/138.59
  6. Step 6: Final answer
    x = 649.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.