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Finding the Third Proportional to 309,611.53 and 664,999.03

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Solution

The third proportional to 309,611.53 and 664,999.03 is: 1,428,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,611.53 : 664,999.03 = 664,999.03 : x
  2. Step 2: Convert to fraction form
    309,611.53/664,999.03 = 664,999.03/x
  3. Step 3: Cross multiply
    309,611.53x = 664,999.03 × 664,999.03
  4. Step 4: Simplify right side
    309,611.53x = 442,223,711,563.44
  5. Step 5: Solve for x
    x = 442,223,711,563.44/309,611.53
  6. Step 6: Final answer
    x = 1,428,317.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.