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Finding the Third Proportional to 305,967 and 430,107

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Solution

The third proportional to 305,967 and 430,107 is: 604,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,967 : 430,107 = 430,107 : x
  2. Step 2: Convert to fraction form
    305,967/430,107 = 430,107/x
  3. Step 3: Cross multiply
    305,967x = 430,107 × 430,107
  4. Step 4: Simplify right side
    305,967x = 184,992,031,449
  5. Step 5: Solve for x
    x = 184,992,031,449/305,967
  6. Step 6: Final answer
    x = 604,614.33

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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.