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Finding the Third Proportional to 305,957 and 430,094

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Solution

The third proportional to 305,957 and 430,094 is: 604,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,957 : 430,094 = 430,094 : x
  2. Step 2: Convert to fraction form
    305,957/430,094 = 430,094/x
  3. Step 3: Cross multiply
    305,957x = 430,094 × 430,094
  4. Step 4: Simplify right side
    305,957x = 184,980,848,836
  5. Step 5: Solve for x
    x = 184,980,848,836/305,957
  6. Step 6: Final answer
    x = 604,597.54

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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.