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Finding the Third Proportional to 277.49 and 642.46

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Solution

The third proportional to 277.49 and 642.46 is: 1,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.49 : 642.46 = 642.46 : x
  2. Step 2: Convert to fraction form
    277.49/642.46 = 642.46/x
  3. Step 3: Cross multiply
    277.49x = 642.46 × 642.46
  4. Step 4: Simplify right side
    277.49x = 412,758.57
  5. Step 5: Solve for x
    x = 412,758.57/277.49
  6. Step 6: Final answer
    x = 1,487.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.