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Finding the Third Proportional to 479,072 and 798,405

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Solution

The third proportional to 479,072 and 798,405 is: 1,330,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,072 : 798,405 = 798,405 : x
  2. Step 2: Convert to fraction form
    479,072/798,405 = 798,405/x
  3. Step 3: Cross multiply
    479,072x = 798,405 × 798,405
  4. Step 4: Simplify right side
    479,072x = 637,450,544,025
  5. Step 5: Solve for x
    x = 637,450,544,025/479,072
  6. Step 6: Final answer
    x = 1,330,594.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.