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Finding the Third Proportional to 288,940.50 and 430,350.75

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Solution

The third proportional to 288,940.50 and 430,350.75 is: 640,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,940.50 : 430,350.75 = 430,350.75 : x
  2. Step 2: Convert to fraction form
    288,940.50/430,350.75 = 430,350.75/x
  3. Step 3: Cross multiply
    288,940.50x = 430,350.75 × 430,350.75
  4. Step 4: Simplify right side
    288,940.50x = 185,201,768,025.56
  5. Step 5: Solve for x
    x = 185,201,768,025.56/288,940.50
  6. Step 6: Final answer
    x = 640,968.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.