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Finding the Third Proportional to 208.63 and 296.56

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Solution

The third proportional to 208.63 and 296.56 is: 421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.63 : 296.56 = 296.56 : x
  2. Step 2: Convert to fraction form
    208.63/296.56 = 296.56/x
  3. Step 3: Cross multiply
    208.63x = 296.56 × 296.56
  4. Step 4: Simplify right side
    208.63x = 87,949.32
  5. Step 5: Solve for x
    x = 87,949.32/208.63
  6. Step 6: Final answer
    x = 421.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.