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Finding the Third Proportional to 276 and 580.31

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Solution

The third proportional to 276 and 580.31 is: 1,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276 : 580.31 = 580.31 : x
  2. Step 2: Convert to fraction form
    276/580.31 = 580.31/x
  3. Step 3: Cross multiply
    276x = 580.31 × 580.31
  4. Step 4: Simplify right side
    276x = 336,762.60
  5. Step 5: Solve for x
    x = 336,762.60/276
  6. Step 6: Final answer
    x = 1,220.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.