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Finding the Third Proportional to 305,920 and 430,035

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Solution

The third proportional to 305,920 and 430,035 is: 604,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,920 : 430,035 = 430,035 : x
  2. Step 2: Convert to fraction form
    305,920/430,035 = 430,035/x
  3. Step 3: Cross multiply
    305,920x = 430,035 × 430,035
  4. Step 4: Simplify right side
    305,920x = 184,930,101,225
  5. Step 5: Solve for x
    x = 184,930,101,225/305,920
  6. Step 6: Final answer
    x = 604,504.78

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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.