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Finding the Third Proportional to 245.91 and 280.78

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Solution

The third proportional to 245.91 and 280.78 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.91 : 280.78 = 280.78 : x
  2. Step 2: Convert to fraction form
    245.91/280.78 = 280.78/x
  3. Step 3: Cross multiply
    245.91x = 280.78 × 280.78
  4. Step 4: Simplify right side
    245.91x = 78,838.11
  5. Step 5: Solve for x
    x = 78,838.11/245.91
  6. Step 6: Final answer
    x = 320.60

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.