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Finding the Third Proportional to 139.63 and 204.69

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Solution

The third proportional to 139.63 and 204.69 is: 300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.63 : 204.69 = 204.69 : x
  2. Step 2: Convert to fraction form
    139.63/204.69 = 204.69/x
  3. Step 3: Cross multiply
    139.63x = 204.69 × 204.69
  4. Step 4: Simplify right side
    139.63x = 41,896.97
  5. Step 5: Solve for x
    x = 41,896.97/139.63
  6. Step 6: Final answer
    x = 300.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.