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Finding the Third Proportional to 397,327.78 and 869,737.50

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Solution

The third proportional to 397,327.78 and 869,737.50 is: 1,903,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,327.78 : 869,737.50 = 869,737.50 : x
  2. Step 2: Convert to fraction form
    397,327.78/869,737.50 = 869,737.50/x
  3. Step 3: Cross multiply
    397,327.78x = 869,737.50 × 869,737.50
  4. Step 4: Simplify right side
    397,327.78x = 756,443,318,906.25
  5. Step 5: Solve for x
    x = 756,443,318,906.25/397,327.78
  6. Step 6: Final answer
    x = 1,903,826.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.