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Finding the Third Proportional to 408,682.13 and 890,930.25

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Solution

The third proportional to 408,682.13 and 890,930.25 is: 1,942,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,682.13 : 890,930.25 = 890,930.25 : x
  2. Step 2: Convert to fraction form
    408,682.13/890,930.25 = 890,930.25/x
  3. Step 3: Cross multiply
    408,682.13x = 890,930.25 × 890,930.25
  4. Step 4: Simplify right side
    408,682.13x = 793,756,710,365.06
  5. Step 5: Solve for x
    x = 793,756,710,365.06/408,682.13
  6. Step 6: Final answer
    x = 1,942,234.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.