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Finding the Third Proportional to 205.45 and 307.43

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Solution

The third proportional to 205.45 and 307.43 is: 460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.45 : 307.43 = 307.43 : x
  2. Step 2: Convert to fraction form
    205.45/307.43 = 307.43/x
  3. Step 3: Cross multiply
    205.45x = 307.43 × 307.43
  4. Step 4: Simplify right side
    205.45x = 94,513.01
  5. Step 5: Solve for x
    x = 94,513.01/205.45
  6. Step 6: Final answer
    x = 460.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.