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Finding the Third Proportional to 276.86 and 603.07

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Solution

The third proportional to 276.86 and 603.07 is: 1,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 603.07 = 603.07 : x
  2. Step 2: Convert to fraction form
    276.86/603.07 = 603.07/x
  3. Step 3: Cross multiply
    276.86x = 603.07 × 603.07
  4. Step 4: Simplify right side
    276.86x = 363,693.80
  5. Step 5: Solve for x
    x = 363,693.80/276.86
  6. Step 6: Final answer
    x = 1,313.66

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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.