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Finding the Third Proportional to 280.65 and 591.76

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Solution

The third proportional to 280.65 and 591.76 is: 1,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.65 : 591.76 = 591.76 : x
  2. Step 2: Convert to fraction form
    280.65/591.76 = 591.76/x
  3. Step 3: Cross multiply
    280.65x = 591.76 × 591.76
  4. Step 4: Simplify right side
    280.65x = 350,178.46
  5. Step 5: Solve for x
    x = 350,178.46/280.65
  6. Step 6: Final answer
    x = 1,247.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.