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Finding the Third Proportional to 207,999 and 330,601.50

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Solution

The third proportional to 207,999 and 330,601.50 is: 525,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,999 : 330,601.50 = 330,601.50 : x
  2. Step 2: Convert to fraction form
    207,999/330,601.50 = 330,601.50/x
  3. Step 3: Cross multiply
    207,999x = 330,601.50 × 330,601.50
  4. Step 4: Simplify right side
    207,999x = 109,297,351,802.25
  5. Step 5: Solve for x
    x = 109,297,351,802.25/207,999
  6. Step 6: Final answer
    x = 525,470.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.