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Finding the Third Proportional to 421,787.72 and 923,672.19

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Solution

The third proportional to 421,787.72 and 923,672.19 is: 2,022,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,787.72 : 923,672.19 = 923,672.19 : x
  2. Step 2: Convert to fraction form
    421,787.72/923,672.19 = 923,672.19/x
  3. Step 3: Cross multiply
    421,787.72x = 923,672.19 × 923,672.19
  4. Step 4: Simplify right side
    421,787.72x = 853,170,311,765.06
  5. Step 5: Solve for x
    x = 853,170,311,765.06/421,787.72
  6. Step 6: Final answer
    x = 2,022,748.08

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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.