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Finding the Third Proportional to 405.84 and 1,063.55

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Solution

The third proportional to 405.84 and 1,063.55 is: 2,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 1,063.55 = 1,063.55 : x
  2. Step 2: Convert to fraction form
    405.84/1,063.55 = 1,063.55/x
  3. Step 3: Cross multiply
    405.84x = 1,063.55 × 1,063.55
  4. Step 4: Simplify right side
    405.84x = 1,131,131.96
  5. Step 5: Solve for x
    x = 1,131,131.96/405.84
  6. Step 6: Final answer
    x = 2,787.11

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.