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Finding the Third Proportional to 305,969 and 430,110

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Solution

The third proportional to 305,969 and 430,110 is: 604,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,969 : 430,110 = 430,110 : x
  2. Step 2: Convert to fraction form
    305,969/430,110 = 430,110/x
  3. Step 3: Cross multiply
    305,969x = 430,110 × 430,110
  4. Step 4: Simplify right side
    305,969x = 184,994,612,100
  5. Step 5: Solve for x
    x = 184,994,612,100/305,969
  6. Step 6: Final answer
    x = 604,618.81

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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.