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Finding the Third Proportional to 208,585.13 and 440,236.27

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Solution

The third proportional to 208,585.13 and 440,236.27 is: 929,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,585.13 : 440,236.27 = 440,236.27 : x
  2. Step 2: Convert to fraction form
    208,585.13/440,236.27 = 440,236.27/x
  3. Step 3: Cross multiply
    208,585.13x = 440,236.27 × 440,236.27
  4. Step 4: Simplify right side
    208,585.13x = 193,807,969,571.45
  5. Step 5: Solve for x
    x = 193,807,969,571.45/208,585.13
  6. Step 6: Final answer
    x = 929,155.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.