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Finding the Third Proportional to 102.94 and 145.65

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Solution

The third proportional to 102.94 and 145.65 is: 206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 145.65 = 145.65 : x
  2. Step 2: Convert to fraction form
    102.94/145.65 = 145.65/x
  3. Step 3: Cross multiply
    102.94x = 145.65 × 145.65
  4. Step 4: Simplify right side
    102.94x = 21,214.61
  5. Step 5: Solve for x
    x = 21,214.61/102.94
  6. Step 6: Final answer
    x = 206.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.