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Finding the Third Proportional to 305,973 and 430,116

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Solution

The third proportional to 305,973 and 430,116 is: 604,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,973 : 430,116 = 430,116 : x
  2. Step 2: Convert to fraction form
    305,973/430,116 = 430,116/x
  3. Step 3: Cross multiply
    305,973x = 430,116 × 430,116
  4. Step 4: Simplify right side
    305,973x = 184,999,773,456
  5. Step 5: Solve for x
    x = 184,999,773,456/305,973
  6. Step 6: Final answer
    x = 604,627.77

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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.