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Finding the Third Proportional to 412,428.25 and 618,450.38

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Solution

The third proportional to 412,428.25 and 618,450.38 is: 927,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,428.25 : 618,450.38 = 618,450.38 : x
  2. Step 2: Convert to fraction form
    412,428.25/618,450.38 = 618,450.38/x
  3. Step 3: Cross multiply
    412,428.25x = 618,450.38 × 618,450.38
  4. Step 4: Simplify right side
    412,428.25x = 382,480,866,337.64
  5. Step 5: Solve for x
    x = 382,480,866,337.64/412,428.25
  6. Step 6: Final answer
    x = 927,387.65

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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.