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Finding the Third Proportional to 678,434 and 996,907

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Solution

The third proportional to 678,434 and 996,907 is: 1,464,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,434 : 996,907 = 996,907 : x
  2. Step 2: Convert to fraction form
    678,434/996,907 = 996,907/x
  3. Step 3: Cross multiply
    678,434x = 996,907 × 996,907
  4. Step 4: Simplify right side
    678,434x = 993,823,566,649
  5. Step 5: Solve for x
    x = 993,823,566,649/678,434
  6. Step 6: Final answer
    x = 1,464,878.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.