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Finding the Third Proportional to 145.69 and 204.34

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Solution

The third proportional to 145.69 and 204.34 is: 286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.69 : 204.34 = 204.34 : x
  2. Step 2: Convert to fraction form
    145.69/204.34 = 204.34/x
  3. Step 3: Cross multiply
    145.69x = 204.34 × 204.34
  4. Step 4: Simplify right side
    145.69x = 41,756.37
  5. Step 5: Solve for x
    x = 41,756.37/145.69
  6. Step 6: Final answer
    x = 286.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.