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Finding the Third Proportional to 203,562 and 430,088

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Solution

The third proportional to 203,562 and 430,088 is: 908,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,562 : 430,088 = 430,088 : x
  2. Step 2: Convert to fraction form
    203,562/430,088 = 430,088/x
  3. Step 3: Cross multiply
    203,562x = 430,088 × 430,088
  4. Step 4: Simplify right side
    203,562x = 184,975,687,744
  5. Step 5: Solve for x
    x = 184,975,687,744/203,562
  6. Step 6: Final answer
    x = 908,694.59

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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.