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Finding the Third Proportional to 292.57 and 636.54

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Solution

The third proportional to 292.57 and 636.54 is: 1,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.57 : 636.54 = 636.54 : x
  2. Step 2: Convert to fraction form
    292.57/636.54 = 636.54/x
  3. Step 3: Cross multiply
    292.57x = 636.54 × 636.54
  4. Step 4: Simplify right side
    292.57x = 405,181.98
  5. Step 5: Solve for x
    x = 405,181.98/292.57
  6. Step 6: Final answer
    x = 1,384.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.