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Finding the Third Proportional to 405.19 and 888.94

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Solution

The third proportional to 405.19 and 888.94 is: 1,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.19 : 888.94 = 888.94 : x
  2. Step 2: Convert to fraction form
    405.19/888.94 = 888.94/x
  3. Step 3: Cross multiply
    405.19x = 888.94 × 888.94
  4. Step 4: Simplify right side
    405.19x = 790,209.88
  5. Step 5: Solve for x
    x = 790,209.88/405.19
  6. Step 6: Final answer
    x = 1,950.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.