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Finding the Third Proportional to 280.48 and 401.48

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Solution

The third proportional to 280.48 and 401.48 is: 574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.48 : 401.48 = 401.48 : x
  2. Step 2: Convert to fraction form
    280.48/401.48 = 401.48/x
  3. Step 3: Cross multiply
    280.48x = 401.48 × 401.48
  4. Step 4: Simplify right side
    280.48x = 161,189.70
  5. Step 5: Solve for x
    x = 161,189.70/280.48
  6. Step 6: Final answer
    x = 574.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.