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Finding the Third Proportional to 208,568 and 440,088

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Solution

The third proportional to 208,568 and 440,088 is: 928,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,568 : 440,088 = 440,088 : x
  2. Step 2: Convert to fraction form
    208,568/440,088 = 440,088/x
  3. Step 3: Cross multiply
    208,568x = 440,088 × 440,088
  4. Step 4: Simplify right side
    208,568x = 193,677,447,744
  5. Step 5: Solve for x
    x = 193,677,447,744/208,568
  6. Step 6: Final answer
    x = 928,605.77

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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.