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Finding the Third Proportional to 289,993.50 and 438,999.75

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Solution

The third proportional to 289,993.50 and 438,999.75 is: 664,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,993.50 : 438,999.75 = 438,999.75 : x
  2. Step 2: Convert to fraction form
    289,993.50/438,999.75 = 438,999.75/x
  3. Step 3: Cross multiply
    289,993.50x = 438,999.75 × 438,999.75
  4. Step 4: Simplify right side
    289,993.50x = 192,720,780,500.06
  5. Step 5: Solve for x
    x = 192,720,780,500.06/289,993.50
  6. Step 6: Final answer
    x = 664,569.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.