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Finding the Third Proportional to 330,912 and 465,991.50

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Solution

The third proportional to 330,912 and 465,991.50 is: 656,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,912 : 465,991.50 = 465,991.50 : x
  2. Step 2: Convert to fraction form
    330,912/465,991.50 = 465,991.50/x
  3. Step 3: Cross multiply
    330,912x = 465,991.50 × 465,991.50
  4. Step 4: Simplify right side
    330,912x = 217,148,078,072.25
  5. Step 5: Solve for x
    x = 217,148,078,072.25/330,912
  6. Step 6: Final answer
    x = 656,210.95

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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.