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Finding the Third Proportional to 305,919 and 430,033.50

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Solution

The third proportional to 305,919 and 430,033.50 is: 604,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,919 : 430,033.50 = 430,033.50 : x
  2. Step 2: Convert to fraction form
    305,919/430,033.50 = 430,033.50/x
  3. Step 3: Cross multiply
    305,919x = 430,033.50 × 430,033.50
  4. Step 4: Simplify right side
    305,919x = 184,928,811,122.25
  5. Step 5: Solve for x
    x = 184,928,811,122.25/305,919
  6. Step 6: Final answer
    x = 604,502.54

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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.