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Finding the Third Proportional to 203,560 and 430,084

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Solution

The third proportional to 203,560 and 430,084 is: 908,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,560 : 430,084 = 430,084 : x
  2. Step 2: Convert to fraction form
    203,560/430,084 = 430,084/x
  3. Step 3: Cross multiply
    203,560x = 430,084 × 430,084
  4. Step 4: Simplify right side
    203,560x = 184,972,247,056
  5. Step 5: Solve for x
    x = 184,972,247,056/203,560
  6. Step 6: Final answer
    x = 908,686.61

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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.