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Finding the Third Proportional to 305,906.63 and 430,018.88

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Solution

The third proportional to 305,906.63 and 430,018.88 is: 604,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,906.63 : 430,018.88 = 430,018.88 : x
  2. Step 2: Convert to fraction form
    305,906.63/430,018.88 = 430,018.88/x
  3. Step 3: Cross multiply
    305,906.63x = 430,018.88 × 430,018.88
  4. Step 4: Simplify right side
    305,906.63x = 184,916,232,856.27
  5. Step 5: Solve for x
    x = 184,916,232,856.27/305,906.63
  6. Step 6: Final answer
    x = 604,485.87

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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.