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Finding the Third Proportional to 678,207 and 996,898

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Solution

The third proportional to 678,207 and 996,898 is: 1,465,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,207 : 996,898 = 996,898 : x
  2. Step 2: Convert to fraction form
    678,207/996,898 = 996,898/x
  3. Step 3: Cross multiply
    678,207x = 996,898 × 996,898
  4. Step 4: Simplify right side
    678,207x = 993,805,622,404
  5. Step 5: Solve for x
    x = 993,805,622,404/678,207
  6. Step 6: Final answer
    x = 1,465,342.62

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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.