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Finding the Third Proportional to 138.50 and 300.13

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Solution

The third proportional to 138.50 and 300.13 is: 650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.50 : 300.13 = 300.13 : x
  2. Step 2: Convert to fraction form
    138.50/300.13 = 300.13/x
  3. Step 3: Cross multiply
    138.50x = 300.13 × 300.13
  4. Step 4: Simplify right side
    138.50x = 90,075.02
  5. Step 5: Solve for x
    x = 90,075.02/138.50
  6. Step 6: Final answer
    x = 650.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.