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Finding the Third Proportional to 296,168.25 and 433,144.50

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Solution

The third proportional to 296,168.25 and 433,144.50 is: 633,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,168.25 : 433,144.50 = 433,144.50 : x
  2. Step 2: Convert to fraction form
    296,168.25/433,144.50 = 433,144.50/x
  3. Step 3: Cross multiply
    296,168.25x = 433,144.50 × 433,144.50
  4. Step 4: Simplify right side
    296,168.25x = 187,614,157,880.25
  5. Step 5: Solve for x
    x = 187,614,157,880.25/296,168.25
  6. Step 6: Final answer
    x = 633,471.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.