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Finding the Third Proportional to 678.25 and 921.25

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Solution

The third proportional to 678.25 and 921.25 is: 1,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.25 : 921.25 = 921.25 : x
  2. Step 2: Convert to fraction form
    678.25/921.25 = 921.25/x
  3. Step 3: Cross multiply
    678.25x = 921.25 × 921.25
  4. Step 4: Simplify right side
    678.25x = 848,701.56
  5. Step 5: Solve for x
    x = 848,701.56/678.25
  6. Step 6: Final answer
    x = 1,251.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.