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Finding the Third Proportional to 405.84 and 648.84

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Solution

The third proportional to 405.84 and 648.84 is: 1,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 648.84 = 648.84 : x
  2. Step 2: Convert to fraction form
    405.84/648.84 = 648.84/x
  3. Step 3: Cross multiply
    405.84x = 648.84 × 648.84
  4. Step 4: Simplify right side
    405.84x = 420,998.21
  5. Step 5: Solve for x
    x = 420,998.21/405.84
  6. Step 6: Final answer
    x = 1,037.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.