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Finding the Third Proportional to 284,350.50 and 427,234.50

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Solution

The third proportional to 284,350.50 and 427,234.50 is: 641,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,350.50 : 427,234.50 = 427,234.50 : x
  2. Step 2: Convert to fraction form
    284,350.50/427,234.50 = 427,234.50/x
  3. Step 3: Cross multiply
    284,350.50x = 427,234.50 × 427,234.50
  4. Step 4: Simplify right side
    284,350.50x = 182,529,317,990.25
  5. Step 5: Solve for x
    x = 182,529,317,990.25/284,350.50
  6. Step 6: Final answer
    x = 641,916.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.