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Finding the Third Proportional to 67.00 and 142.99

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Solution

The third proportional to 67.00 and 142.99 is: 305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.00 : 142.99 = 142.99 : x
  2. Step 2: Convert to fraction form
    67.00/142.99 = 142.99/x
  3. Step 3: Cross multiply
    67.00x = 142.99 × 142.99
  4. Step 4: Simplify right side
    67.00x = 20,446.77
  5. Step 5: Solve for x
    x = 20,446.77/67.00
  6. Step 6: Final answer
    x = 305.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.