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Finding the Third Proportional to 308.94 and 652.56

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Solution

The third proportional to 308.94 and 652.56 is: 1,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.94 : 652.56 = 652.56 : x
  2. Step 2: Convert to fraction form
    308.94/652.56 = 652.56/x
  3. Step 3: Cross multiply
    308.94x = 652.56 × 652.56
  4. Step 4: Simplify right side
    308.94x = 425,837.82
  5. Step 5: Solve for x
    x = 425,837.82/308.94
  6. Step 6: Final answer
    x = 1,378.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.