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Finding the Third Proportional to 145.97 and 205.69

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Solution

The third proportional to 145.97 and 205.69 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 205.69 = 205.69 : x
  2. Step 2: Convert to fraction form
    145.97/205.69 = 205.69/x
  3. Step 3: Cross multiply
    145.97x = 205.69 × 205.69
  4. Step 4: Simplify right side
    145.97x = 42,307.35
  5. Step 5: Solve for x
    x = 42,307.35/145.97
  6. Step 6: Final answer
    x = 289.84

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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.