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Finding the Third Proportional to 67.24 and 145.80

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Solution

The third proportional to 67.24 and 145.80 is: 316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.24 : 145.80 = 145.80 : x
  2. Step 2: Convert to fraction form
    67.24/145.80 = 145.80/x
  3. Step 3: Cross multiply
    67.24x = 145.80 × 145.80
  4. Step 4: Simplify right side
    67.24x = 21,259.01
  5. Step 5: Solve for x
    x = 21,259.01/67.24
  6. Step 6: Final answer
    x = 316.16

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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.