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Finding the Third Proportional to 305,916 and 430,029

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Solution

The third proportional to 305,916 and 430,029 is: 604,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,916 : 430,029 = 430,029 : x
  2. Step 2: Convert to fraction form
    305,916/430,029 = 430,029/x
  3. Step 3: Cross multiply
    305,916x = 430,029 × 430,029
  4. Step 4: Simplify right side
    305,916x = 184,924,940,841
  5. Step 5: Solve for x
    x = 184,924,940,841/305,916
  6. Step 6: Final answer
    x = 604,495.81

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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.