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Finding the Third Proportional to 405.42 and 580.92

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Solution

The third proportional to 405.42 and 580.92 is: 832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 580.92 = 580.92 : x
  2. Step 2: Convert to fraction form
    405.42/580.92 = 580.92/x
  3. Step 3: Cross multiply
    405.42x = 580.92 × 580.92
  4. Step 4: Simplify right side
    405.42x = 337,470.22
  5. Step 5: Solve for x
    x = 337,470.22/405.42
  6. Step 6: Final answer
    x = 832.39

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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.