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Finding the Third Proportional to 305,964.75 and 430,105.50

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Solution

The third proportional to 305,964.75 and 430,105.50 is: 604,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,964.75 : 430,105.50 = 430,105.50 : x
  2. Step 2: Convert to fraction form
    305,964.75/430,105.50 = 430,105.50/x
  3. Step 3: Cross multiply
    305,964.75x = 430,105.50 × 430,105.50
  4. Step 4: Simplify right side
    305,964.75x = 184,990,741,130.25
  5. Step 5: Solve for x
    x = 184,990,741,130.25/305,964.75
  6. Step 6: Final answer
    x = 604,614.55

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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.