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Finding the Third Proportional to 305,921 and 430,036

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Solution

The third proportional to 305,921 and 430,036 is: 604,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,921 : 430,036 = 430,036 : x
  2. Step 2: Convert to fraction form
    305,921/430,036 = 430,036/x
  3. Step 3: Cross multiply
    305,921x = 430,036 × 430,036
  4. Step 4: Simplify right side
    305,921x = 184,930,961,296
  5. Step 5: Solve for x
    x = 184,930,961,296/305,921
  6. Step 6: Final answer
    x = 604,505.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.