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Finding the Third Proportional to 678,440 and 996,916

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Solution

The third proportional to 678,440 and 996,916 is: 1,464,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,440 : 996,916 = 996,916 : x
  2. Step 2: Convert to fraction form
    678,440/996,916 = 996,916/x
  3. Step 3: Cross multiply
    678,440x = 996,916 × 996,916
  4. Step 4: Simplify right side
    678,440x = 993,841,511,056
  5. Step 5: Solve for x
    x = 993,841,511,056/678,440
  6. Step 6: Final answer
    x = 1,464,892.27

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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.